Properties

Label 177.4.f.a.2.12
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.206723 + 3.81279i) q^{2} +(-4.04421 + 3.26257i) q^{3} +(-6.54149 - 0.711430i) q^{4} +(-3.85784 + 11.4497i) q^{5} +(-11.6035 - 16.0941i) q^{6} +(-12.2513 - 18.0693i) q^{7} +(-0.877159 + 5.35043i) q^{8} +(5.71121 - 26.3891i) q^{9} +O(q^{10})\) \(q+(-0.206723 + 3.81279i) q^{2} +(-4.04421 + 3.26257i) q^{3} +(-6.54149 - 0.711430i) q^{4} +(-3.85784 + 11.4497i) q^{5} +(-11.6035 - 16.0941i) q^{6} +(-12.2513 - 18.0693i) q^{7} +(-0.877159 + 5.35043i) q^{8} +(5.71121 - 26.3891i) q^{9} +(-42.8576 - 17.0760i) q^{10} +(-3.29748 + 0.725830i) q^{11} +(28.7762 - 18.4649i) q^{12} +(-1.53064 + 1.30014i) q^{13} +(71.4272 - 42.9763i) q^{14} +(-21.7535 - 58.8913i) q^{15} +(-71.6285 - 15.7666i) q^{16} +(1.33719 + 0.906636i) q^{17} +(99.4351 + 27.2309i) q^{18} +(-28.1623 + 53.1197i) q^{19} +(33.3817 - 72.1533i) q^{20} +(108.499 + 33.1053i) q^{21} +(-2.08577 - 12.7226i) q^{22} +(95.7596 - 90.7083i) q^{23} +(-13.9088 - 24.5001i) q^{24} +(-16.7003 - 12.6952i) q^{25} +(-4.64072 - 6.10477i) q^{26} +(62.9989 + 125.356i) q^{27} +(67.2868 + 126.916i) q^{28} +(-97.0117 + 5.25982i) q^{29} +(229.037 - 70.7671i) q^{30} +(71.8215 - 38.0774i) q^{31} +(63.3181 - 228.051i) q^{32} +(10.9676 - 13.6937i) q^{33} +(-3.73324 + 4.91099i) q^{34} +(254.152 - 70.5648i) q^{35} +(-56.1338 + 168.561i) q^{36} +(-185.207 + 30.3631i) q^{37} +(-196.712 - 118.358i) q^{38} +(1.94843 - 10.2518i) q^{39} +(-57.8767 - 30.6843i) q^{40} +(-166.875 + 176.168i) q^{41} +(-148.653 + 406.841i) q^{42} +(70.3742 - 319.713i) q^{43} +(22.0868 - 2.40209i) q^{44} +(280.113 + 167.196i) q^{45} +(326.056 + 383.862i) q^{46} +(99.6083 - 33.5619i) q^{47} +(341.120 - 169.930i) q^{48} +(-49.4490 + 124.108i) q^{49} +(51.8564 - 61.0501i) q^{50} +(-8.36584 + 0.696053i) q^{51} +(10.9376 - 7.41589i) q^{52} +(-34.2146 + 13.6324i) q^{53} +(-490.979 + 214.287i) q^{54} +(4.41064 - 40.5552i) q^{55} +(107.425 - 49.7002i) q^{56} +(-59.4129 - 306.709i) q^{57} -370.972i q^{58} +(-414.022 - 184.295i) q^{59} +(100.403 + 400.713i) q^{60} +(-405.070 - 21.9623i) q^{61} +(130.334 + 281.711i) q^{62} +(-546.803 + 220.103i) q^{63} +(300.389 + 101.213i) q^{64} +(-8.98117 - 22.5410i) q^{65} +(49.9438 + 44.6480i) q^{66} +(-860.279 - 141.036i) q^{67} +(-8.10220 - 6.88207i) q^{68} +(-91.3290 + 679.266i) q^{69} +(216.510 + 983.613i) q^{70} +(-109.093 - 323.777i) q^{71} +(136.183 + 53.7049i) q^{72} +(-498.599 - 828.677i) q^{73} +(-77.4814 - 712.430i) q^{74} +(108.958 - 3.14380i) q^{75} +(222.014 - 327.447i) q^{76} +(53.5138 + 50.6909i) q^{77} +(38.6853 + 9.54823i) q^{78} +(-426.339 - 197.245i) q^{79} +(456.854 - 759.298i) q^{80} +(-663.764 - 301.427i) q^{81} +(-637.192 - 672.675i) q^{82} +(100.639 + 362.469i) q^{83} +(-686.196 - 293.748i) q^{84} +(-15.5393 + 11.8127i) q^{85} +(1204.45 + 334.414i) q^{86} +(375.175 - 337.780i) q^{87} +(-0.991092 - 18.2796i) q^{88} +(-30.4024 - 560.740i) q^{89} +(-695.389 + 1033.45i) q^{90} +(42.2450 + 11.7293i) q^{91} +(-690.943 + 525.241i) q^{92} +(-166.231 + 388.316i) q^{93} +(107.373 + 386.723i) q^{94} +(-499.557 - 527.376i) q^{95} +(487.962 + 1128.87i) q^{96} +(673.228 - 1118.91i) q^{97} +(-462.973 - 214.194i) q^{98} +(0.321357 + 91.1627i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.206723 + 3.81279i −0.0730877 + 1.34802i 0.700190 + 0.713956i \(0.253098\pi\)
−0.773278 + 0.634067i \(0.781384\pi\)
\(3\) −4.04421 + 3.26257i −0.778308 + 0.627883i
\(4\) −6.54149 0.711430i −0.817687 0.0889288i
\(5\) −3.85784 + 11.4497i −0.345056 + 1.02409i 0.624878 + 0.780722i \(0.285149\pi\)
−0.969934 + 0.243367i \(0.921748\pi\)
\(6\) −11.6035 16.0941i −0.789516 1.09507i
\(7\) −12.2513 18.0693i −0.661509 0.975653i −0.999406 0.0344697i \(-0.989026\pi\)
0.337897 0.941183i \(-0.390285\pi\)
\(8\) −0.877159 + 5.35043i −0.0387653 + 0.236458i
\(9\) 5.71121 26.3891i 0.211526 0.977372i
\(10\) −42.8576 17.0760i −1.35528 0.539992i
\(11\) −3.29748 + 0.725830i −0.0903843 + 0.0198951i −0.259932 0.965627i \(-0.583700\pi\)
0.169548 + 0.985522i \(0.445769\pi\)
\(12\) 28.7762 18.4649i 0.692249 0.444197i
\(13\) −1.53064 + 1.30014i −0.0326556 + 0.0277379i −0.663566 0.748118i \(-0.730958\pi\)
0.630910 + 0.775856i \(0.282682\pi\)
\(14\) 71.4272 42.9763i 1.36355 0.820421i
\(15\) −21.7535 58.8913i −0.374448 1.01371i
\(16\) −71.6285 15.7666i −1.11920 0.246354i
\(17\) 1.33719 + 0.906636i 0.0190774 + 0.0129348i 0.570689 0.821167i \(-0.306676\pi\)
−0.551611 + 0.834101i \(0.685987\pi\)
\(18\) 99.4351 + 27.2309i 1.30206 + 0.356576i
\(19\) −28.1623 + 53.1197i −0.340046 + 0.641395i −0.993277 0.115764i \(-0.963068\pi\)
0.653231 + 0.757159i \(0.273413\pi\)
\(20\) 33.3817 72.1533i 0.373218 0.806699i
\(21\) 108.499 + 33.1053i 1.12745 + 0.344008i
\(22\) −2.08577 12.7226i −0.0202131 0.123294i
\(23\) 95.7596 90.7083i 0.868142 0.822347i −0.117170 0.993112i \(-0.537382\pi\)
0.985312 + 0.170764i \(0.0546237\pi\)
\(24\) −13.9088 24.5001i −0.118297 0.208377i
\(25\) −16.7003 12.6952i −0.133602 0.101562i
\(26\) −4.64072 6.10477i −0.0350046 0.0460478i
\(27\) 62.9989 + 125.356i 0.449043 + 0.893510i
\(28\) 67.2868 + 126.916i 0.454143 + 0.856605i
\(29\) −97.0117 + 5.25982i −0.621194 + 0.0336802i −0.362050 0.932159i \(-0.617923\pi\)
−0.259144 + 0.965839i \(0.583440\pi\)
\(30\) 229.037 70.7671i 1.39387 0.430675i
\(31\) 71.8215 38.0774i 0.416114 0.220610i −0.247179 0.968970i \(-0.579503\pi\)
0.663292 + 0.748360i \(0.269159\pi\)
\(32\) 63.3181 228.051i 0.349786 1.25982i
\(33\) 10.9676 13.6937i 0.0578551 0.0722353i
\(34\) −3.73324 + 4.91099i −0.0188307 + 0.0247714i
\(35\) 254.152 70.5648i 1.22741 0.340790i
\(36\) −56.1338 + 168.561i −0.259879 + 0.780373i
\(37\) −185.207 + 30.3631i −0.822913 + 0.134910i −0.558505 0.829501i \(-0.688625\pi\)
−0.264408 + 0.964411i \(0.585177\pi\)
\(38\) −196.712 118.358i −0.839762 0.505268i
\(39\) 1.94843 10.2518i 0.00799996 0.0420925i
\(40\) −57.8767 30.6843i −0.228778 0.121290i
\(41\) −166.875 + 176.168i −0.635645 + 0.671043i −0.961635 0.274331i \(-0.911544\pi\)
0.325990 + 0.945373i \(0.394302\pi\)
\(42\) −148.653 + 406.841i −0.546134 + 1.49469i
\(43\) 70.3742 319.713i 0.249580 1.13386i −0.670433 0.741970i \(-0.733892\pi\)
0.920014 0.391886i \(-0.128177\pi\)
\(44\) 22.0868 2.40209i 0.0756753 0.00823018i
\(45\) 280.113 + 167.196i 0.927928 + 0.553870i
\(46\) 326.056 + 383.862i 1.04509 + 1.23038i
\(47\) 99.6083 33.5619i 0.309135 0.104160i −0.160458 0.987043i \(-0.551297\pi\)
0.469593 + 0.882883i \(0.344401\pi\)
\(48\) 341.120 169.930i 1.02576 0.510985i
\(49\) −49.4490 + 124.108i −0.144166 + 0.361830i
\(50\) 51.8564 61.0501i 0.146672 0.172676i
\(51\) −8.36584 + 0.696053i −0.0229696 + 0.00191112i
\(52\) 10.9376 7.41589i 0.0291688 0.0197769i
\(53\) −34.2146 + 13.6324i −0.0886744 + 0.0353311i −0.414054 0.910253i \(-0.635887\pi\)
0.325379 + 0.945584i \(0.394508\pi\)
\(54\) −490.979 + 214.287i −1.23729 + 0.540015i
\(55\) 4.41064 40.5552i 0.0108133 0.0994265i
\(56\) 107.425 49.7002i 0.256345 0.118598i
\(57\) −59.4129 306.709i −0.138060 0.712712i
\(58\) 370.972i 0.839846i
\(59\) −414.022 184.295i −0.913578 0.406664i
\(60\) 100.403 + 400.713i 0.216033 + 0.862197i
\(61\) −405.070 21.9623i −0.850228 0.0460980i −0.376126 0.926568i \(-0.622744\pi\)
−0.474101 + 0.880470i \(0.657227\pi\)
\(62\) 130.334 + 281.711i 0.266974 + 0.577055i
\(63\) −546.803 + 220.103i −1.09350 + 0.440164i
\(64\) 300.389 + 101.213i 0.586696 + 0.197681i
\(65\) −8.98117 22.5410i −0.0171381 0.0430134i
\(66\) 49.9438 + 44.6480i 0.0931463 + 0.0832695i
\(67\) −860.279 141.036i −1.56865 0.257168i −0.686146 0.727464i \(-0.740699\pi\)
−0.882509 + 0.470296i \(0.844147\pi\)
\(68\) −8.10220 6.88207i −0.0144491 0.0122731i
\(69\) −91.3290 + 679.266i −0.159344 + 1.18513i
\(70\) 216.510 + 983.613i 0.369683 + 1.67949i
\(71\) −109.093 323.777i −0.182352 0.541201i 0.817021 0.576608i \(-0.195624\pi\)
−0.999373 + 0.0354068i \(0.988727\pi\)
\(72\) 136.183 + 53.7049i 0.222908 + 0.0879053i
\(73\) −498.599 828.677i −0.799405 1.32862i −0.940901 0.338682i \(-0.890019\pi\)
0.141496 0.989939i \(-0.454809\pi\)
\(74\) −77.4814 712.430i −0.121717 1.11917i
\(75\) 108.958 3.14380i 0.167752 0.00484020i
\(76\) 222.014 327.447i 0.335089 0.494220i
\(77\) 53.5138 + 50.6909i 0.0792008 + 0.0750229i
\(78\) 38.6853 + 9.54823i 0.0561570 + 0.0138606i
\(79\) −426.339 197.245i −0.607176 0.280909i 0.0921131 0.995749i \(-0.470638\pi\)
−0.699289 + 0.714839i \(0.746500\pi\)
\(80\) 456.854 759.298i 0.638473 1.06115i
\(81\) −663.764 301.427i −0.910513 0.413480i
\(82\) −637.192 672.675i −0.858123 0.905909i
\(83\) 100.639 + 362.469i 0.133091 + 0.479352i 0.999811 0.0194440i \(-0.00618962\pi\)
−0.866720 + 0.498796i \(0.833776\pi\)
\(84\) −686.196 293.748i −0.891311 0.381554i
\(85\) −15.5393 + 11.8127i −0.0198292 + 0.0150737i
\(86\) 1204.45 + 334.414i 1.51022 + 0.419311i
\(87\) 375.175 337.780i 0.462333 0.416251i
\(88\) −0.991092 18.2796i −0.00120058 0.0221433i
\(89\) −30.4024 560.740i −0.0362096 0.667846i −0.959149 0.282901i \(-0.908703\pi\)
0.922939 0.384945i \(-0.125780\pi\)
\(90\) −695.389 + 1033.45i −0.814450 + 1.21039i
\(91\) 42.2450 + 11.7293i 0.0486646 + 0.0135117i
\(92\) −690.943 + 525.241i −0.782998 + 0.595220i
\(93\) −166.231 + 388.316i −0.185348 + 0.432973i
\(94\) 107.373 + 386.723i 0.117816 + 0.424334i
\(95\) −499.557 527.376i −0.539511 0.569554i
\(96\) 487.962 + 1128.87i 0.518775 + 1.20015i
\(97\) 673.228 1118.91i 0.704701 1.17122i −0.273161 0.961968i \(-0.588069\pi\)
0.977861 0.209253i \(-0.0671033\pi\)
\(98\) −462.973 214.194i −0.477218 0.220785i
\(99\) 0.321357 + 91.1627i 0.000326238 + 0.0925475i
\(100\) 100.213 + 94.9266i 0.100213 + 0.0949266i
\(101\) −1021.66 + 1506.83i −1.00652 + 1.48451i −0.137025 + 0.990568i \(0.543754\pi\)
−0.869496 + 0.493940i \(0.835556\pi\)
\(102\) −0.924487 32.0410i −0.000897430 0.0311033i
\(103\) 112.618 + 1035.50i 0.107733 + 0.990592i 0.915837 + 0.401551i \(0.131529\pi\)
−0.808103 + 0.589041i \(0.799506\pi\)
\(104\) −5.61368 9.33001i −0.00529295 0.00879695i
\(105\) −797.618 + 1114.57i −0.741329 + 1.03591i
\(106\) −44.9043 133.271i −0.0411461 0.122117i
\(107\) 238.280 + 1082.52i 0.215284 + 0.978047i 0.953008 + 0.302944i \(0.0979696\pi\)
−0.737724 + 0.675102i \(0.764099\pi\)
\(108\) −322.925 864.835i −0.287717 0.770544i
\(109\) 1386.09 + 1177.36i 1.21801 + 1.03459i 0.998256 + 0.0590353i \(0.0188025\pi\)
0.219757 + 0.975555i \(0.429473\pi\)
\(110\) 153.716 + 25.2005i 0.133239 + 0.0218434i
\(111\) 649.952 727.045i 0.555772 0.621694i
\(112\) 592.651 + 1487.44i 0.500003 + 1.25491i
\(113\) −1105.13 372.362i −0.920019 0.309990i −0.180850 0.983511i \(-0.557885\pi\)
−0.739169 + 0.673520i \(0.764781\pi\)
\(114\) 1181.70 163.125i 0.970842 0.134018i
\(115\) 669.154 + 1446.35i 0.542600 + 1.17281i
\(116\) 638.344 + 34.6100i 0.510937 + 0.0277022i
\(117\) 25.5676 + 47.8175i 0.0202028 + 0.0377840i
\(118\) 788.266 1540.48i 0.614964 1.20180i
\(119\) 35.2696i 0.0271694i
\(120\) 334.175 64.7335i 0.254216 0.0492444i
\(121\) −1197.64 + 554.086i −0.899802 + 0.416293i
\(122\) 167.475 1539.90i 0.124282 1.14276i
\(123\) 100.116 1256.90i 0.0733917 0.921388i
\(124\) −496.909 + 197.987i −0.359869 + 0.143385i
\(125\) −1040.25 + 705.305i −0.744341 + 0.504675i
\(126\) −726.168 2130.34i −0.513430 1.50624i
\(127\) 920.229 1083.38i 0.642970 0.756962i −0.340061 0.940403i \(-0.610448\pi\)
0.983031 + 0.183441i \(0.0587236\pi\)
\(128\) 252.829 634.553i 0.174587 0.438180i
\(129\) 758.480 + 1522.59i 0.517678 + 1.03920i
\(130\) 87.8007 29.5835i 0.0592356 0.0199588i
\(131\) 1137.95 + 1339.70i 0.758956 + 0.893513i 0.996973 0.0777485i \(-0.0247731\pi\)
−0.238017 + 0.971261i \(0.576497\pi\)
\(132\) −81.4867 + 81.7744i −0.0537311 + 0.0539208i
\(133\) 1304.86 141.912i 0.850722 0.0925216i
\(134\) 715.578 3250.91i 0.461318 2.09579i
\(135\) −1678.32 + 237.713i −1.06998 + 0.151549i
\(136\) −6.02383 + 6.35928i −0.00379808 + 0.00400958i
\(137\) 128.337 + 68.0399i 0.0800333 + 0.0424310i 0.507944 0.861390i \(-0.330406\pi\)
−0.427911 + 0.903821i \(0.640750\pi\)
\(138\) −2571.02 488.638i −1.58594 0.301417i
\(139\) 1385.68 + 833.737i 0.845554 + 0.508753i 0.871206 0.490918i \(-0.163339\pi\)
−0.0256518 + 0.999671i \(0.508166\pi\)
\(140\) −1712.73 + 280.788i −1.03395 + 0.169507i
\(141\) −293.338 + 460.711i −0.175202 + 0.275169i
\(142\) 1257.04 349.017i 0.742879 0.206259i
\(143\) 4.10357 5.39816i 0.00239971 0.00315676i
\(144\) −825.152 + 1800.16i −0.477519 + 1.04176i
\(145\) 314.033 1131.04i 0.179855 0.647780i
\(146\) 3262.64 1729.74i 1.84944 0.980510i
\(147\) −204.928 663.248i −0.114981 0.372134i
\(148\) 1233.13 66.8583i 0.684882 0.0371332i
\(149\) 1195.53 + 2255.01i 0.657328 + 1.23985i 0.958176 + 0.286180i \(0.0923856\pi\)
−0.300848 + 0.953672i \(0.597270\pi\)
\(150\) −10.5376 + 416.085i −0.00573593 + 0.226488i
\(151\) −1687.19 2219.47i −0.909284 1.19614i −0.980070 0.198651i \(-0.936344\pi\)
0.0707859 0.997492i \(-0.477449\pi\)
\(152\) −259.511 197.275i −0.138481 0.105270i
\(153\) 31.5622 30.1091i 0.0166775 0.0159097i
\(154\) −204.336 + 193.557i −0.106921 + 0.101281i
\(155\) 158.897 + 969.229i 0.0823414 + 0.502260i
\(156\) −20.0391 + 65.6762i −0.0102847 + 0.0337071i
\(157\) 250.211 540.821i 0.127191 0.274919i −0.833510 0.552504i \(-0.813672\pi\)
0.960701 + 0.277586i \(0.0895343\pi\)
\(158\) 840.189 1584.76i 0.423050 0.797956i
\(159\) 93.8945 166.760i 0.0468322 0.0831756i
\(160\) 2366.84 + 1604.76i 1.16947 + 0.792919i
\(161\) −2812.22 619.017i −1.37661 0.303015i
\(162\) 1286.49 2468.48i 0.623928 1.19717i
\(163\) −357.322 + 214.994i −0.171703 + 0.103311i −0.598811 0.800890i \(-0.704360\pi\)
0.427108 + 0.904201i \(0.359532\pi\)
\(164\) 1216.94 1033.68i 0.579434 0.492175i
\(165\) 114.477 + 178.404i 0.0540121 + 0.0841739i
\(166\) −1402.82 + 308.785i −0.655904 + 0.144375i
\(167\) 3598.10 + 1433.61i 1.66724 + 0.664290i 0.996967 0.0778228i \(-0.0247968\pi\)
0.670275 + 0.742113i \(0.266176\pi\)
\(168\) −272.299 + 551.480i −0.125050 + 0.253260i
\(169\) −354.783 + 2164.08i −0.161485 + 0.985015i
\(170\) −41.8270 61.6901i −0.0188705 0.0278319i
\(171\) 1240.94 + 1046.55i 0.554953 + 0.468023i
\(172\) −687.806 + 2041.33i −0.304911 + 0.904943i
\(173\) −1980.33 215.374i −0.870300 0.0946508i −0.337939 0.941168i \(-0.609730\pi\)
−0.532361 + 0.846517i \(0.678695\pi\)
\(174\) 1210.32 + 1500.29i 0.527325 + 0.653658i
\(175\) −24.7938 + 457.296i −0.0107099 + 0.197533i
\(176\) 247.638 0.106059
\(177\) 2275.67 605.450i 0.966382 0.257110i
\(178\) 2144.27 0.902919
\(179\) 135.221 2494.00i 0.0564629 1.04140i −0.823791 0.566894i \(-0.808145\pi\)
0.880254 0.474504i \(-0.157372\pi\)
\(180\) −1713.41 1292.99i −0.709499 0.535411i
\(181\) −3714.80 404.009i −1.52552 0.165910i −0.693419 0.720534i \(-0.743897\pi\)
−0.832101 + 0.554624i \(0.812862\pi\)
\(182\) −53.4542 + 158.646i −0.0217708 + 0.0646134i
\(183\) 1709.84 1232.75i 0.690683 0.497965i
\(184\) 401.332 + 591.921i 0.160797 + 0.237158i
\(185\) 366.851 2237.69i 0.145791 0.889288i
\(186\) −1446.20 714.076i −0.570111 0.281498i
\(187\) −5.06742 2.01904i −0.00198164 0.000789557i
\(188\) −675.464 + 148.681i −0.262039 + 0.0576791i
\(189\) 1493.28 2674.13i 0.574710 1.02917i
\(190\) 2114.04 1795.68i 0.807204 0.685645i
\(191\) −2487.83 + 1496.88i −0.942477 + 0.567070i −0.901824 0.432104i \(-0.857771\pi\)
−0.0406533 + 0.999173i \(0.512944\pi\)
\(192\) −1545.05 + 570.715i −0.580751 + 0.214520i
\(193\) −2980.41 656.037i −1.11158 0.244677i −0.379024 0.925387i \(-0.623740\pi\)
−0.732553 + 0.680710i \(0.761671\pi\)
\(194\) 4127.01 + 2798.18i 1.52733 + 1.03555i
\(195\) 109.863 + 61.8589i 0.0403461 + 0.0227169i
\(196\) 411.764 776.669i 0.150060 0.283043i
\(197\) 718.395 1552.78i 0.259815 0.561580i −0.733140 0.680078i \(-0.761946\pi\)
0.992954 + 0.118498i \(0.0378079\pi\)
\(198\) −347.650 17.6202i −0.124780 0.00632430i
\(199\) −59.6108 363.610i −0.0212347 0.129526i 0.974082 0.226196i \(-0.0726290\pi\)
−0.995316 + 0.0966704i \(0.969181\pi\)
\(200\) 82.5736 78.2179i 0.0291942 0.0276542i
\(201\) 3939.29 2236.35i 1.38237 0.784775i
\(202\) −5534.02 4206.85i −1.92759 1.46531i
\(203\) 1283.56 + 1688.50i 0.443786 + 0.583790i
\(204\) 55.2203 + 1.39848i 0.0189519 + 0.000479968i
\(205\) −1373.28 2590.29i −0.467874 0.882505i
\(206\) −3971.42 + 215.324i −1.34321 + 0.0728270i
\(207\) −1846.80 3045.06i −0.620105 1.02245i
\(208\) 130.136 68.9939i 0.0433814 0.0229993i
\(209\) 54.3087 195.602i 0.0179742 0.0647373i
\(210\) −4084.72 3271.55i −1.34225 1.07504i
\(211\) −1805.72 + 2375.38i −0.589150 + 0.775014i −0.989991 0.141134i \(-0.954925\pi\)
0.400840 + 0.916148i \(0.368718\pi\)
\(212\) 233.513 64.8346i 0.0756498 0.0210041i
\(213\) 1497.54 + 953.497i 0.481737 + 0.306725i
\(214\) −4176.67 + 684.730i −1.33416 + 0.218725i
\(215\) 3389.11 + 2039.16i 1.07505 + 0.646836i
\(216\) −725.969 + 227.114i −0.228685 + 0.0715425i
\(217\) −1567.94 831.270i −0.490501 0.260047i
\(218\) −4775.54 + 5041.48i −1.48367 + 1.56629i
\(219\) 4720.06 + 1724.63i 1.45640 + 0.532144i
\(220\) −57.7044 + 262.154i −0.0176838 + 0.0803381i
\(221\) −3.22551 + 0.350795i −0.000981769 + 0.000106774i
\(222\) 2637.71 + 2628.42i 0.797438 + 0.794632i
\(223\) 237.534 + 279.646i 0.0713293 + 0.0839754i 0.796669 0.604415i \(-0.206593\pi\)
−0.725340 + 0.688391i \(0.758317\pi\)
\(224\) −4896.46 + 1649.81i −1.46053 + 0.492110i
\(225\) −430.393 + 368.199i −0.127524 + 0.109096i
\(226\) 1648.19 4136.66i 0.485116 1.21755i
\(227\) 2297.29 2704.58i 0.671702 0.790789i −0.315727 0.948850i \(-0.602248\pi\)
0.987429 + 0.158061i \(0.0505242\pi\)
\(228\) 170.447 + 2048.60i 0.0495094 + 0.595052i
\(229\) −3560.63 + 2414.17i −1.02748 + 0.696649i −0.953741 0.300628i \(-0.902804\pi\)
−0.0737396 + 0.997278i \(0.523493\pi\)
\(230\) −5652.96 + 2252.35i −1.62063 + 0.645719i
\(231\) −381.804 30.4119i −0.108748 0.00866216i
\(232\) 56.9524 523.669i 0.0161168 0.148192i
\(233\) −1486.93 + 687.927i −0.418077 + 0.193423i −0.617638 0.786462i \(-0.711910\pi\)
0.199561 + 0.979885i \(0.436048\pi\)
\(234\) −187.603 + 87.5987i −0.0524103 + 0.0244722i
\(235\) 1269.96i 0.352523i
\(236\) 2577.21 + 1500.11i 0.710856 + 0.413767i
\(237\) 2367.73 593.262i 0.648948 0.162601i
\(238\) 134.475 + 7.29105i 0.0366250 + 0.00198575i
\(239\) 1293.26 + 2795.34i 0.350017 + 0.756550i 0.999994 0.00340407i \(-0.00108355\pi\)
−0.649977 + 0.759954i \(0.725221\pi\)
\(240\) 629.652 + 4561.28i 0.169349 + 1.22679i
\(241\) 2974.37 + 1002.18i 0.795003 + 0.267868i 0.687355 0.726321i \(-0.258772\pi\)
0.107648 + 0.994189i \(0.465668\pi\)
\(242\) −1865.03 4680.87i −0.495408 1.24338i
\(243\) 3667.83 946.547i 0.968277 0.249881i
\(244\) 2634.14 + 431.845i 0.691120 + 0.113303i
\(245\) −1230.22 1044.96i −0.320801 0.272490i
\(246\) 4771.59 + 641.552i 1.23669 + 0.166276i
\(247\) −25.9566 117.922i −0.00668655 0.0303773i
\(248\) 140.731 + 417.676i 0.0360341 + 0.106945i
\(249\) −1589.59 1137.56i −0.404563 0.289517i
\(250\) −2474.13 4112.04i −0.625912 1.04027i
\(251\) −127.283 1170.35i −0.0320082 0.294310i −0.999191 0.0402271i \(-0.987192\pi\)
0.967182 0.254083i \(-0.0817737\pi\)
\(252\) 3733.49 1050.79i 0.933286 0.262673i
\(253\) −249.926 + 368.614i −0.0621057 + 0.0915991i
\(254\) 3940.45 + 3732.60i 0.973410 + 0.922063i
\(255\) 24.3045 98.4713i 0.00596865 0.0241824i
\(256\) 4668.62 + 2159.94i 1.13980 + 0.527328i
\(257\) −3444.77 + 5725.25i −0.836105 + 1.38962i 0.0833914 + 0.996517i \(0.473425\pi\)
−0.919496 + 0.393100i \(0.871403\pi\)
\(258\) −5962.09 + 2577.17i −1.43870 + 0.621889i
\(259\) 2817.67 + 2974.57i 0.675989 + 0.713633i
\(260\) 42.7139 + 153.841i 0.0101885 + 0.0366955i
\(261\) −415.253 + 2590.09i −0.0984809 + 0.614262i
\(262\) −5343.23 + 4061.82i −1.25995 + 0.957786i
\(263\) −6524.52 1811.52i −1.52973 0.424727i −0.602159 0.798376i \(-0.705693\pi\)
−0.927570 + 0.373649i \(0.878107\pi\)
\(264\) 63.6468 + 70.6930i 0.0148378 + 0.0164805i
\(265\) −24.0913 444.338i −0.00558459 0.103002i
\(266\) 271.336 + 5004.50i 0.0625439 + 1.15356i
\(267\) 1952.41 + 2168.56i 0.447511 + 0.497055i
\(268\) 5527.17 + 1534.61i 1.25980 + 0.349781i
\(269\) −6011.72 + 4569.99i −1.36261 + 1.03583i −0.368251 + 0.929727i \(0.620043\pi\)
−0.994356 + 0.106100i \(0.966164\pi\)
\(270\) −559.399 6448.23i −0.126089 1.45343i
\(271\) 733.951 + 2643.45i 0.164518 + 0.592540i 0.999130 + 0.0417018i \(0.0132779\pi\)
−0.834612 + 0.550838i \(0.814308\pi\)
\(272\) −81.4863 86.0240i −0.0181648 0.0191764i
\(273\) −209.115 + 90.3918i −0.0463598 + 0.0200394i
\(274\) −285.952 + 475.256i −0.0630474 + 0.104786i
\(275\) 64.2833 + 29.7406i 0.0140961 + 0.00652155i
\(276\) 1080.68 4378.44i 0.235685 0.954895i
\(277\) −4357.60 4127.73i −0.945208 0.895348i 0.0494290 0.998778i \(-0.484260\pi\)
−0.994637 + 0.103429i \(0.967018\pi\)
\(278\) −3465.31 + 5110.95i −0.747610 + 1.10264i
\(279\) −594.637 2112.77i −0.127599 0.453363i
\(280\) 154.621 + 1421.72i 0.0330014 + 0.303442i
\(281\) 1716.89 + 2853.49i 0.364487 + 0.605783i 0.983780 0.179377i \(-0.0574083\pi\)
−0.619293 + 0.785160i \(0.712581\pi\)
\(282\) −1695.95 1213.67i −0.358129 0.256288i
\(283\) 111.203 + 330.037i 0.0233580 + 0.0693240i 0.958698 0.284426i \(-0.0918030\pi\)
−0.935340 + 0.353750i \(0.884906\pi\)
\(284\) 483.287 + 2195.60i 0.100978 + 0.458749i
\(285\) 3740.92 + 502.975i 0.777519 + 0.104539i
\(286\) 19.7337 + 16.7620i 0.00408000 + 0.00346558i
\(287\) 5227.67 + 857.033i 1.07519 + 0.176268i
\(288\) −5656.43 2973.35i −1.15732 0.608356i
\(289\) −1817.52 4561.64i −0.369942 0.928483i
\(290\) 4247.51 + 1431.15i 0.860077 + 0.289794i
\(291\) 927.866 + 6721.58i 0.186916 + 1.35404i
\(292\) 2672.03 + 5775.50i 0.535510 + 1.15749i
\(293\) 2456.46 + 133.186i 0.489789 + 0.0265556i 0.297380 0.954759i \(-0.403887\pi\)
0.192409 + 0.981315i \(0.438370\pi\)
\(294\) 2571.18 644.239i 0.510049 0.127799i
\(295\) 3707.35 4029.43i 0.731696 0.795263i
\(296\) 1017.57i 0.199814i
\(297\) −298.725 367.632i −0.0583629 0.0718256i
\(298\) −8845.03 + 4092.15i −1.71939 + 0.795476i
\(299\) −28.6402 + 263.342i −0.00553948 + 0.0509347i
\(300\) −714.987 56.9511i −0.137599 0.0109602i
\(301\) −6639.18 + 2645.29i −1.27135 + 0.506552i
\(302\) 8811.13 5974.09i 1.67889 1.13831i
\(303\) −784.357 9427.16i −0.148713 1.78738i
\(304\) 2854.74 3360.86i 0.538588 0.634075i
\(305\) 1814.16 4553.19i 0.340584 0.854803i
\(306\) 108.275 + 126.564i 0.0202277 + 0.0236444i
\(307\) 6679.36 2250.54i 1.24173 0.418387i 0.379636 0.925136i \(-0.376049\pi\)
0.862094 + 0.506749i \(0.169153\pi\)
\(308\) −313.997 369.666i −0.0580897 0.0683885i
\(309\) −3833.85 3820.36i −0.705825 0.703341i
\(310\) −3728.31 + 405.478i −0.683076 + 0.0742890i
\(311\) −1461.25 + 6638.51i −0.266430 + 1.21040i 0.633283 + 0.773921i \(0.281707\pi\)
−0.899713 + 0.436483i \(0.856224\pi\)
\(312\) 53.1427 + 19.4174i 0.00964300 + 0.00352338i
\(313\) 5528.78 5836.67i 0.998420 1.05402i −0.000120365 1.00000i \(-0.500038\pi\)
0.998540 0.0540187i \(-0.0172031\pi\)
\(314\) 2010.31 + 1065.80i 0.361301 + 0.191549i
\(315\) −410.625 7109.83i −0.0734479 1.27173i
\(316\) 2648.57 + 1593.59i 0.471499 + 0.283691i
\(317\) 4238.92 694.936i 0.751046 0.123128i 0.225913 0.974148i \(-0.427464\pi\)
0.525134 + 0.851020i \(0.324015\pi\)
\(318\) 616.409 + 392.473i 0.108700 + 0.0692100i
\(319\) 316.076 87.7582i 0.0554761 0.0154029i
\(320\) −2317.70 + 3048.89i −0.404886 + 0.532618i
\(321\) −4495.45 3600.52i −0.781656 0.626048i
\(322\) 2941.53 10594.4i 0.509084 1.83355i
\(323\) −85.8186 + 45.4981i −0.0147835 + 0.00783772i
\(324\) 4127.56 + 2444.00i 0.707744 + 0.419068i
\(325\) 42.0676 2.28084i 0.00717996 0.000389286i
\(326\) −745.858 1406.84i −0.126716 0.239011i
\(327\) −9446.85 239.247i −1.59759 0.0404599i
\(328\) −796.197 1047.38i −0.134032 0.176317i
\(329\) −1826.78 1388.68i −0.306120 0.232706i
\(330\) −703.879 + 399.595i −0.117416 + 0.0666575i
\(331\) 909.672 861.687i 0.151058 0.143089i −0.608439 0.793601i \(-0.708204\pi\)
0.759497 + 0.650511i \(0.225445\pi\)
\(332\) −400.458 2442.69i −0.0661988 0.403795i
\(333\) −256.502 + 5060.84i −0.0422108 + 0.832829i
\(334\) −6209.88 + 13422.4i −1.01733 + 2.19893i
\(335\) 4933.63 9305.82i 0.804636 1.51771i
\(336\) −7249.70 4081.96i −1.17709 0.662765i
\(337\) 577.144 + 391.313i 0.0932909 + 0.0632528i 0.606941 0.794747i \(-0.292397\pi\)
−0.513650 + 0.858000i \(0.671707\pi\)
\(338\) −8177.82 1800.07i −1.31602 0.289678i
\(339\) 5684.24 2099.67i 0.910695 0.336396i
\(340\) 110.054 66.2176i 0.0175545 0.0105622i
\(341\) −209.192 + 177.690i −0.0332211 + 0.0282183i
\(342\) −4246.82 + 4515.08i −0.671467 + 0.713882i
\(343\) −4464.64 + 982.741i −0.702821 + 0.154703i
\(344\) 1648.87 + 656.971i 0.258434 + 0.102970i
\(345\) −7425.03 3666.19i −1.15870 0.572118i
\(346\) 1230.56 7506.06i 0.191200 1.16627i
\(347\) −2694.59 3974.23i −0.416868 0.614835i 0.560047 0.828461i \(-0.310783\pi\)
−0.976916 + 0.213626i \(0.931473\pi\)
\(348\) −2694.51 + 1942.67i −0.415060 + 0.299248i
\(349\) 2584.84 7671.54i 0.396457 1.17664i −0.544688 0.838639i \(-0.683352\pi\)
0.941145 0.338004i \(-0.109752\pi\)
\(350\) −1738.44 189.067i −0.265496 0.0288745i
\(351\) −259.409 109.968i −0.0394479 0.0167226i
\(352\) −43.2637 + 797.952i −0.00655103 + 0.120827i
\(353\) −7830.18 −1.18062 −0.590309 0.807177i \(-0.700994\pi\)
−0.590309 + 0.807177i \(0.700994\pi\)
\(354\) 1838.02 + 8801.79i 0.275959 + 1.32150i
\(355\) 4128.00 0.617160
\(356\) −200.050 + 3689.71i −0.0297827 + 0.549309i
\(357\) 115.070 + 142.638i 0.0170592 + 0.0211462i
\(358\) 9481.13 + 1031.13i 1.39970 + 0.152227i
\(359\) 2804.60 8323.76i 0.412315 1.22371i −0.517500 0.855683i \(-0.673137\pi\)
0.929816 0.368025i \(-0.119966\pi\)
\(360\) −1140.28 + 1352.07i −0.166938 + 0.197945i
\(361\) 1820.59 + 2685.17i 0.265431 + 0.391482i
\(362\) 2308.34 14080.2i 0.335148 2.04431i
\(363\) 3035.74 6148.21i 0.438940 0.888974i
\(364\) −268.001 106.781i −0.0385908 0.0153760i
\(365\) 11411.6 2511.88i 1.63647 0.360213i
\(366\) 4346.75 + 6774.09i 0.620788 + 0.967452i
\(367\) 1694.88 1439.65i 0.241069 0.204766i −0.518705 0.854953i \(-0.673586\pi\)
0.759774 + 0.650188i \(0.225310\pi\)
\(368\) −8289.28 + 4987.50i −1.17421 + 0.706498i
\(369\) 3695.84 + 5409.80i 0.521403 + 0.763205i
\(370\) 8455.99 + 1861.30i 1.18812 + 0.261526i
\(371\) 665.502 + 451.222i 0.0931298 + 0.0631436i
\(372\) 1363.66 2421.90i 0.190060 0.337553i
\(373\) −6443.15 + 12153.1i −0.894407 + 1.68703i −0.184380 + 0.982855i \(0.559028\pi\)
−0.710027 + 0.704175i \(0.751317\pi\)
\(374\) 8.74573 18.9036i 0.00120917 0.00261359i
\(375\) 1905.86 6246.29i 0.262449 0.860152i
\(376\) 92.1986 + 562.387i 0.0126457 + 0.0771353i
\(377\) 141.651 134.179i 0.0193513 0.0183305i
\(378\) 9887.17 + 6246.37i 1.34535 + 0.849943i
\(379\) 423.320 + 321.799i 0.0573733 + 0.0436140i 0.633468 0.773769i \(-0.281631\pi\)
−0.576095 + 0.817383i \(0.695424\pi\)
\(380\) 2892.66 + 3805.23i 0.390501 + 0.513695i
\(381\) −186.997 + 7383.72i −0.0251447 + 0.992859i
\(382\) −5192.98 9795.01i −0.695540 1.31193i
\(383\) −6486.48 + 351.687i −0.865388 + 0.0469200i −0.481486 0.876454i \(-0.659903\pi\)
−0.383902 + 0.923374i \(0.625420\pi\)
\(384\) 1047.78 + 3391.13i 0.139243 + 0.450659i
\(385\) −786.842 + 417.157i −0.104159 + 0.0552215i
\(386\) 3117.45 11228.0i 0.411072 1.48055i
\(387\) −8035.00 3683.06i −1.05541 0.483773i
\(388\) −5199.95 + 6840.41i −0.680380 + 0.895024i
\(389\) −274.362 + 76.1763i −0.0357602 + 0.00992878i −0.285362 0.958420i \(-0.592114\pi\)
0.249602 + 0.968348i \(0.419700\pi\)
\(390\) −258.566 + 406.098i −0.0335718 + 0.0527271i
\(391\) 210.288 34.4750i 0.0271988 0.00445902i
\(392\) −620.655 373.436i −0.0799689 0.0481157i
\(393\) −8972.98 1705.37i −1.15172 0.218892i
\(394\) 5771.92 + 3060.08i 0.738034 + 0.391281i
\(395\) 3903.14 4120.50i 0.497186 0.524873i
\(396\) 62.7538 596.569i 0.00796337 0.0757038i
\(397\) 1445.82 6568.43i 0.182780 0.830378i −0.792582 0.609766i \(-0.791264\pi\)
0.975362 0.220612i \(-0.0708054\pi\)
\(398\) 1398.69 152.117i 0.176156 0.0191581i
\(399\) −4814.14 + 4831.14i −0.604031 + 0.606164i
\(400\) 996.054 + 1172.65i 0.124507 + 0.146581i
\(401\) −1339.25 + 451.247i −0.166781 + 0.0561951i −0.401453 0.915879i \(-0.631495\pi\)
0.234672 + 0.972075i \(0.424598\pi\)
\(402\) 7712.37 + 15482.0i 0.956861 + 1.92082i
\(403\) −60.4271 + 151.661i −0.00746920 + 0.0187463i
\(404\) 7755.16 9130.08i 0.955034 1.12435i
\(405\) 6011.93 6437.02i 0.737618 0.789773i
\(406\) −6703.22 + 4544.90i −0.819398 + 0.555565i
\(407\) 588.677 234.550i 0.0716944 0.0285657i
\(408\) 3.61398 45.3714i 0.000438527 0.00550544i
\(409\) −778.022 + 7153.80i −0.0940604 + 0.864871i 0.848129 + 0.529790i \(0.177729\pi\)
−0.942189 + 0.335081i \(0.891236\pi\)
\(410\) 10160.1 4700.56i 1.22383 0.566205i
\(411\) −741.006 + 143.541i −0.0889322 + 0.0172272i
\(412\) 6853.84i 0.819574i
\(413\) 1742.22 + 9738.97i 0.207577 + 1.16035i
\(414\) 11991.9 6411.98i 1.42360 0.761187i
\(415\) −4538.40 246.065i −0.536823 0.0291057i
\(416\) 199.580 + 431.386i 0.0235222 + 0.0508424i
\(417\) −8324.11 + 1149.09i −0.977539 + 0.134942i
\(418\) 734.562 + 247.503i 0.0859536 + 0.0289612i
\(419\) −2878.77 7225.16i −0.335649 0.842415i −0.995823 0.0913029i \(-0.970897\pi\)
0.660174 0.751113i \(-0.270482\pi\)
\(420\) 6010.55 6723.48i 0.698297 0.781125i
\(421\) 11402.2 + 1869.29i 1.31997 + 0.216398i 0.780261 0.625454i \(-0.215086\pi\)
0.539709 + 0.841852i \(0.318534\pi\)
\(422\) −8683.53 7375.86i −1.00168 0.850832i
\(423\) −316.783 2820.25i −0.0364126 0.324173i
\(424\) −42.9273 195.021i −0.00491683 0.0223374i
\(425\) −10.8215 32.1169i −0.00123510 0.00366565i
\(426\) −3945.05 + 5512.70i −0.448682 + 0.626974i
\(427\) 4565.80 + 7588.41i 0.517458 + 0.860021i
\(428\) −788.573 7250.80i −0.0890586 0.818881i
\(429\) 1.01620 + 35.2195i 0.000114365 + 0.00396367i
\(430\) −8475.50 + 12500.4i −0.950523 + 1.40192i
\(431\) 5461.52 + 5173.42i 0.610376 + 0.578179i 0.929173 0.369644i \(-0.120520\pi\)
−0.318798 + 0.947823i \(0.603279\pi\)
\(432\) −2536.08 9972.35i −0.282447 1.11064i
\(433\) 10676.4 + 4939.41i 1.18493 + 0.548205i 0.910543 0.413415i \(-0.135664\pi\)
0.274383 + 0.961620i \(0.411526\pi\)
\(434\) 3493.58 5806.38i 0.386399 0.642201i
\(435\) 2420.10 + 5598.73i 0.266747 + 0.617100i
\(436\) −8229.50 8687.78i −0.903948 0.954287i
\(437\) 2121.59 + 7641.28i 0.232241 + 0.836457i
\(438\) −7551.38 + 17640.0i −0.823787 + 1.92437i
\(439\) 13590.9 10331.5i 1.47758 1.12323i 0.513348 0.858181i \(-0.328405\pi\)
0.964235 0.265049i \(-0.0853880\pi\)
\(440\) 213.119 + 59.1722i 0.0230910 + 0.00641119i
\(441\) 2992.67 + 2013.72i 0.323147 + 0.217441i
\(442\) −0.670719 12.3707i −7.21783e−5 0.00133125i
\(443\) 705.940 + 13020.3i 0.0757116 + 1.39642i 0.751700 + 0.659506i \(0.229234\pi\)
−0.675988 + 0.736913i \(0.736283\pi\)
\(444\) −4768.90 + 4293.56i −0.509734 + 0.458927i
\(445\) 6537.57 + 1815.15i 0.696429 + 0.193362i
\(446\) −1115.34 + 847.856i −0.118414 + 0.0900160i
\(447\) −12192.1 5219.23i −1.29009 0.552262i
\(448\) −1851.31 6667.81i −0.195237 0.703180i
\(449\) 1882.58 + 1987.41i 0.197872 + 0.208891i 0.817379 0.576100i \(-0.195426\pi\)
−0.619507 + 0.784991i \(0.712668\pi\)
\(450\) −1314.89 1717.11i −0.137743 0.179879i
\(451\) 422.398 702.032i 0.0441019 0.0732980i
\(452\) 6964.30 + 3222.03i 0.724720 + 0.335291i
\(453\) 14064.5 + 3471.38i 1.45874 + 0.360044i
\(454\) 9837.07 + 9318.17i 1.01691 + 0.963267i
\(455\) −297.270 + 438.441i −0.0306291 + 0.0451746i
\(456\) 1693.14 48.8525i 0.173878 0.00501695i
\(457\) 877.756 + 8070.84i 0.0898462 + 0.826122i 0.949186 + 0.314717i \(0.101909\pi\)
−0.859340 + 0.511406i \(0.829125\pi\)
\(458\) −8468.64 14075.0i −0.864003 1.43598i
\(459\) −29.4109 + 224.742i −0.00299081 + 0.0228541i
\(460\) −3348.29 9937.37i −0.339380 1.00724i
\(461\) −2485.94 11293.8i −0.251154 1.14100i −0.918240 0.396023i \(-0.870390\pi\)
0.667087 0.744980i \(-0.267541\pi\)
\(462\) 194.882 1449.45i 0.0196249 0.145962i
\(463\) −7720.49 6557.84i −0.774949 0.658248i 0.170008 0.985443i \(-0.445621\pi\)
−0.944957 + 0.327195i \(0.893897\pi\)
\(464\) 7031.74 + 1152.79i 0.703535 + 0.115339i
\(465\) −3804.79 3401.35i −0.379447 0.339212i
\(466\) −2315.54 5811.56i −0.230183 0.577715i
\(467\) −6536.19 2202.30i −0.647663 0.218223i −0.0237513 0.999718i \(-0.507561\pi\)
−0.623912 + 0.781495i \(0.714458\pi\)
\(468\) −133.231 330.987i −0.0131594 0.0326921i
\(469\) 7991.14 + 17272.6i 0.786773 + 1.70058i
\(470\) −4842.08 262.530i −0.475209 0.0257651i
\(471\) 752.566 + 3003.52i 0.0736230 + 0.293832i
\(472\) 1349.22 2053.54i 0.131574 0.200258i
\(473\) 1105.33i 0.107448i
\(474\) 1772.51 + 9150.29i 0.171760 + 0.886681i
\(475\) 1144.68 529.587i 0.110572 0.0511560i
\(476\) −25.0919 + 230.716i −0.00241614 + 0.0222161i
\(477\) 164.338 + 980.749i 0.0157747 + 0.0941413i
\(478\) −10925.4 + 4353.07i −1.04543 + 0.416537i
\(479\) −2315.46 + 1569.92i −0.220869 + 0.149753i −0.666604 0.745412i \(-0.732253\pi\)
0.445735 + 0.895165i \(0.352942\pi\)
\(480\) −14807.6 + 1232.02i −1.40807 + 0.117154i
\(481\) 244.008 287.269i 0.0231306 0.0272315i
\(482\) −4435.97 + 11133.4i −0.419197 + 1.05210i
\(483\) 13392.8 6671.65i 1.26168 0.628510i
\(484\) 8228.52 2772.51i 0.772776 0.260379i
\(485\) 10214.0 + 12024.8i 0.956274 + 1.12581i
\(486\) 2850.75 + 14180.3i 0.266076 + 1.32352i
\(487\) 10849.9 1180.00i 1.00956 0.109796i 0.411635 0.911349i \(-0.364958\pi\)
0.597924 + 0.801553i \(0.295992\pi\)
\(488\) 472.818 2148.04i 0.0438596 0.199256i
\(489\) 743.653 2035.27i 0.0687712 0.188217i
\(490\) 4238.53 4474.56i 0.390770 0.412531i
\(491\) −6747.03 3577.05i −0.620141 0.328778i 0.128544 0.991704i \(-0.458970\pi\)
−0.748685 + 0.662926i \(0.769314\pi\)
\(492\) −1549.11 + 8150.77i −0.141949 + 0.746880i
\(493\) −134.492 80.9210i −0.0122864 0.00739249i
\(494\) 454.977 74.5897i 0.0414380 0.00679342i
\(495\) −1045.02 348.012i −0.0948894 0.0315999i
\(496\) −5744.82 + 1595.04i −0.520061 + 0.144394i
\(497\) −4513.90 + 5937.94i −0.407397 + 0.535921i
\(498\) 4665.87 5825.60i 0.419845 0.524200i
\(499\) −3053.65 + 10998.3i −0.273948 + 0.986672i 0.690702 + 0.723139i \(0.257302\pi\)
−0.964650 + 0.263533i \(0.915112\pi\)
\(500\) 7306.55 3873.69i 0.653517 0.346473i
\(501\) −19228.7 + 5941.24i −1.71472 + 0.529810i
\(502\) 4488.61 243.365i 0.399076 0.0216373i
\(503\) 6437.20 + 12141.8i 0.570617 + 1.07630i 0.986015 + 0.166658i \(0.0532977\pi\)
−0.415397 + 0.909640i \(0.636357\pi\)
\(504\) −698.012 3118.70i −0.0616904 0.275631i
\(505\) −13311.3 17510.7i −1.17296 1.54301i
\(506\) −1353.78 1029.12i −0.118938 0.0904147i
\(507\) −5625.65 9909.48i −0.492789 0.868039i
\(508\) −6790.42 + 6432.23i −0.593063 + 0.561780i
\(509\) 1525.16 + 9303.06i 0.132812 + 0.810119i 0.966269 + 0.257535i \(0.0829102\pi\)
−0.833457 + 0.552585i \(0.813642\pi\)
\(510\) 370.426 + 113.024i 0.0321622 + 0.00981332i
\(511\) −8865.16 + 19161.7i −0.767459 + 1.65884i
\(512\) −6640.85 + 12526.0i −0.573217 + 1.08120i
\(513\) −8433.07 183.829i −0.725788 0.0158211i
\(514\) −21117.0 14317.7i −1.81213 1.22865i
\(515\) −12290.6 2705.37i −1.05163 0.231481i
\(516\) −3878.38 10499.6i −0.330884 0.895773i
\(517\) −304.096 + 182.969i −0.0258687 + 0.0155647i
\(518\) −11923.9 + 10128.2i −1.01140 + 0.859092i
\(519\) 8711.55 5589.96i 0.736791 0.472779i
\(520\) 128.482 28.2811i 0.0108352 0.00238501i
\(521\) 12259.3 + 4884.57i 1.03089 + 0.410742i 0.823379 0.567491i \(-0.192086\pi\)
0.207506 + 0.978234i \(0.433465\pi\)
\(522\) −9789.61 2118.70i −0.820842 0.177650i
\(523\) 1359.25 8291.04i 0.113644 0.693197i −0.867135 0.498073i \(-0.834041\pi\)
0.980779 0.195123i \(-0.0625107\pi\)
\(524\) −6490.80 9573.21i −0.541129 0.798106i
\(525\) −1391.69 1930.29i −0.115692 0.160466i
\(526\) 8255.72 24502.1i 0.684347 2.03107i
\(527\) 130.561 + 14.1994i 0.0107919 + 0.00117369i
\(528\) −1001.50 + 807.936i −0.0825466 + 0.0665926i
\(529\) 283.195 5223.22i 0.0232757 0.429294i
\(530\) 1699.14 0.139257
\(531\) −7227.94 + 9873.10i −0.590708 + 0.806885i
\(532\) −8636.72 −0.703852
\(533\) 26.3832 486.609i 0.00214406 0.0395448i
\(534\) −8671.86 + 6995.83i −0.702749 + 0.566927i
\(535\) −13313.7 1447.95i −1.07589 0.117010i
\(536\) 1509.20 4479.16i 0.121619 0.360952i
\(537\) 7590.00 + 10527.4i 0.609930 + 0.845980i
\(538\) −16181.6 23866.1i −1.29673 1.91253i
\(539\) 72.9760 445.134i 0.00583172 0.0355719i
\(540\) 11147.9 360.986i 0.888385 0.0287673i
\(541\) −9828.66 3916.10i −0.781085 0.311213i −0.0547021 0.998503i \(-0.517421\pi\)
−0.726383 + 0.687290i \(0.758800\pi\)
\(542\) −10230.6 + 2251.93i −0.810781 + 0.178466i
\(543\) 16341.5 10485.9i 1.29150 0.828719i
\(544\) 291.428 247.541i 0.0229685 0.0195096i
\(545\) −18827.7 + 11328.2i −1.47979 + 0.890363i
\(546\) −301.416 815.997i −0.0236253 0.0639587i
\(547\) −2789.70 614.060i −0.218060 0.0479987i 0.104596 0.994515i \(-0.466645\pi\)
−0.322657 + 0.946516i \(0.604576\pi\)
\(548\) −791.109 536.385i −0.0616688 0.0418125i
\(549\) −2893.00 + 10564.0i −0.224901 + 0.821238i
\(550\) −126.683 + 238.950i −0.00982146 + 0.0185252i
\(551\) 2452.67 5301.36i 0.189632 0.409883i
\(552\) −3554.26 1084.47i −0.274057 0.0836201i
\(553\) 1659.12 + 10120.2i 0.127582 + 0.778217i
\(554\) 16639.0 15761.3i 1.27603 1.20872i
\(555\) 5817.01 + 10246.6i 0.444898 + 0.783679i
\(556\) −8471.28 6439.70i −0.646155 0.491195i
\(557\) −8477.91 11152.5i −0.644921 0.848378i 0.351207 0.936298i \(-0.385771\pi\)
−0.996128 + 0.0879194i \(0.971978\pi\)
\(558\) 8178.46 1830.47i 0.620469 0.138871i
\(559\) 307.953 + 580.861i 0.0233006 + 0.0439496i
\(560\) −19317.1 + 1047.34i −1.45767 + 0.0790326i
\(561\) 27.0810 8.36740i 0.00203807 0.000629718i
\(562\) −11234.7 + 5956.24i −0.843248 + 0.447062i
\(563\) 3064.09 11035.9i 0.229372 0.826122i −0.755837 0.654760i \(-0.772770\pi\)
0.985208 0.171361i \(-0.0548166\pi\)
\(564\) 2246.63 2805.05i 0.167731 0.209422i
\(565\) 8526.85 11216.9i 0.634916 0.835217i
\(566\) −1281.35 + 355.765i −0.0951575 + 0.0264203i
\(567\) 2685.40 + 15686.7i 0.198900 + 1.16187i
\(568\) 1828.04 299.692i 0.135040 0.0221387i
\(569\) −17714.8 10658.6i −1.30517 0.785294i −0.318483 0.947929i \(-0.603173\pi\)
−0.986686 + 0.162635i \(0.948001\pi\)
\(570\) −2691.07 + 14159.3i −0.197748 + 1.04047i
\(571\) −9961.52 5281.26i −0.730081 0.387065i 0.0615172 0.998106i \(-0.480406\pi\)
−0.791599 + 0.611041i \(0.790751\pi\)
\(572\) −30.6839 + 32.3926i −0.00224294 + 0.00236784i
\(573\) 5177.63 14170.4i 0.377484 1.03312i
\(574\) −4348.36 + 19754.8i −0.316197 + 1.43650i
\(575\) −2750.77 + 299.164i −0.199504 + 0.0216974i
\(576\) 4386.49 7348.92i 0.317310 0.531606i
\(577\) 7943.35 + 9351.64i 0.573113 + 0.674720i 0.969988 0.243152i \(-0.0781814\pi\)
−0.396875 + 0.917872i \(0.629906\pi\)
\(578\) 17768.3 5986.83i 1.27865 0.430829i
\(579\) 14193.7 7070.65i 1.01878 0.507506i
\(580\) −2858.90 + 7175.30i −0.204671 + 0.513686i
\(581\) 5316.62 6259.21i 0.379640 0.446946i
\(582\) −25819.7 + 2148.25i −1.83894 + 0.153003i
\(583\) 102.927 69.7864i 0.00731186 0.00495756i
\(584\) 4871.13 1940.84i 0.345152 0.137521i
\(585\) −646.130 + 108.268i −0.0456653 + 0.00765184i
\(586\) −1015.62 + 9338.44i −0.0715951 + 0.658306i
\(587\) 7051.85 3262.53i 0.495845 0.229402i −0.155996 0.987758i \(-0.549859\pi\)
0.651841 + 0.758355i \(0.273997\pi\)
\(588\) 868.683 + 4484.42i 0.0609250 + 0.314514i
\(589\) 4887.48i 0.341910i
\(590\) 14597.0 + 14968.3i 1.01856 + 1.04447i
\(591\) 2160.74 + 8623.60i 0.150391 + 0.600216i
\(592\) 13744.8 + 745.222i 0.954236 + 0.0517372i
\(593\) −1491.80 3224.47i −0.103307 0.223294i 0.849029 0.528347i \(-0.177188\pi\)
−0.952335 + 0.305053i \(0.901326\pi\)
\(594\) 1463.46 1062.98i 0.101088 0.0734249i
\(595\) 403.825 + 136.065i 0.0278239 + 0.00937496i
\(596\) −6216.29 15601.7i −0.427230 1.07227i
\(597\) 1427.38 + 1276.03i 0.0978541 + 0.0874780i
\(598\) −998.147 163.638i −0.0682563 0.0111901i
\(599\) 11736.5 + 9969.10i 0.800571 + 0.680011i 0.951199 0.308580i \(-0.0998536\pi\)
−0.150628 + 0.988591i \(0.548129\pi\)
\(600\) −78.7531 + 585.732i −0.00535847 + 0.0398540i
\(601\) −1686.25 7660.71i −0.114448 0.519945i −0.998607 0.0527582i \(-0.983199\pi\)
0.884159 0.467186i \(-0.154732\pi\)
\(602\) −8713.46 25860.6i −0.589923 1.75083i
\(603\) −8635.04 + 21896.5i −0.583161 + 1.47876i
\(604\) 9457.77 + 15718.9i 0.637138 + 1.05893i
\(605\) −1723.80 15850.1i −0.115839 1.06512i
\(606\) 36105.9 1041.77i 2.42030 0.0698335i
\(607\) 12159.8 17934.4i 0.813099 1.19923i −0.164002 0.986460i \(-0.552440\pi\)
0.977102 0.212772i \(-0.0682492\pi\)
\(608\) 10330.8 + 9785.88i 0.689096 + 0.652746i
\(609\) −10699.8 2640.92i −0.711954 0.175723i
\(610\) 16985.3 + 7858.24i 1.12740 + 0.521591i
\(611\) −108.829 + 180.876i −0.00720583 + 0.0119762i
\(612\) −227.885 + 174.504i −0.0150518 + 0.0115260i
\(613\) 5707.40 + 6025.23i 0.376052 + 0.396993i 0.886359 0.462999i \(-0.153227\pi\)
−0.510307 + 0.859992i \(0.670468\pi\)
\(614\) 7200.04 + 25932.2i 0.473241 + 1.70446i
\(615\) 14004.8 + 5995.21i 0.918260 + 0.393090i
\(616\) −318.158 + 241.858i −0.0208100 + 0.0158194i
\(617\) 18130.6 + 5033.92i 1.18300 + 0.328457i 0.802686 0.596402i \(-0.203403\pi\)
0.380310 + 0.924859i \(0.375817\pi\)
\(618\) 15358.7 13827.9i 0.999708 0.900063i
\(619\) 112.896 + 2082.24i 0.00733065 + 0.135206i 0.999908 + 0.0135883i \(0.00432542\pi\)
−0.992577 + 0.121618i \(0.961192\pi\)
\(620\) −349.885 6453.25i −0.0226641 0.418014i
\(621\) 17403.6 + 6289.52i 1.12461 + 0.406425i
\(622\) −25009.1 6943.75i −1.61218 0.447619i
\(623\) −9759.74 + 7419.16i −0.627633 + 0.477114i
\(624\) −301.200 + 703.605i −0.0193232 + 0.0451390i
\(625\) −4763.92 17158.1i −0.304891 1.09812i
\(626\) 21111.0 + 22286.6i 1.34787 + 1.42293i
\(627\) 418.531 + 968.242i 0.0266579 + 0.0616712i
\(628\) −2021.51 + 3359.77i −0.128450 + 0.213486i
\(629\) −275.184 127.314i −0.0174441 0.00807049i
\(630\) 27193.1 95.8583i 1.71968 0.00606204i
\(631\) 7654.99 + 7251.19i 0.482948 + 0.457473i 0.890019 0.455924i \(-0.150691\pi\)
−0.407070 + 0.913397i \(0.633450\pi\)
\(632\) 1429.32 2108.08i 0.0899607 0.132682i
\(633\) −447.162 15497.8i −0.0280776 0.973117i
\(634\) 1773.36 + 16305.8i 0.111087 + 1.02143i
\(635\) 8854.21 + 14715.8i 0.553337 + 0.919653i
\(636\) −732.848 + 1024.06i −0.0456907 + 0.0638468i
\(637\) −85.6683 254.254i −0.00532857 0.0158146i
\(638\) 269.263 + 1223.27i 0.0167088 + 0.0759089i
\(639\) −9167.22 + 1029.71i −0.567527 + 0.0637473i
\(640\) 6290.04 + 5342.81i 0.388493 + 0.329989i
\(641\) −24235.8 3973.25i −1.49338 0.244827i −0.640914 0.767613i \(-0.721445\pi\)
−0.852464 + 0.522786i \(0.824893\pi\)
\(642\) 14657.3 16395.9i 0.901057 1.00793i
\(643\) 440.169 + 1104.74i 0.0269962 + 0.0677554i 0.941857 0.336014i \(-0.109079\pi\)
−0.914861 + 0.403770i \(0.867700\pi\)
\(644\) 17955.7 + 6049.99i 1.09869 + 0.370191i
\(645\) −20359.2 + 2810.44i −1.24286 + 0.171568i
\(646\) −155.734 336.613i −0.00948494 0.0205014i
\(647\) −4200.01 227.718i −0.255207 0.0138369i −0.0739087 0.997265i \(-0.523547\pi\)
−0.181299 + 0.983428i \(0.558030\pi\)
\(648\) 2194.99 3287.03i 0.133067 0.199269i
\(649\) 1499.00 + 307.200i 0.0906637 + 0.0185803i
\(650\) 160.866i 0.00970721i
\(651\) 9053.16 1753.70i 0.545040 0.105580i
\(652\) 2490.38 1152.17i 0.149587 0.0692062i
\(653\) 569.138 5233.14i 0.0341073 0.313612i −0.964640 0.263572i \(-0.915099\pi\)
0.998747 0.0500403i \(-0.0159350\pi\)
\(654\) 2865.08 35969.4i 0.171305 2.15063i
\(655\) −19729.2 + 7860.81i −1.17692 + 0.468927i
\(656\) 14730.6 9987.57i 0.876725 0.594435i
\(657\) −24715.6 + 8424.79i −1.46765 + 0.500278i
\(658\) 5672.37 6678.03i 0.336067 0.395648i
\(659\) 4551.34 11423.0i 0.269037 0.675231i −0.730937 0.682445i \(-0.760917\pi\)
0.999974 + 0.00721345i \(0.00229613\pi\)
\(660\) −621.927 1248.47i −0.0366795 0.0736311i
\(661\) 969.125 326.536i 0.0570266 0.0192145i −0.290644 0.956831i \(-0.593869\pi\)
0.347670 + 0.937617i \(0.386973\pi\)
\(662\) 3097.38 + 3646.51i 0.181847 + 0.214087i
\(663\) 11.9001 11.9421i 0.000697077 0.000699539i
\(664\) −2027.64 + 220.520i −0.118506 + 0.0128883i
\(665\) −3409.11 + 15487.7i −0.198796 + 0.903140i
\(666\) −19242.9 2024.18i −1.11959 0.117771i
\(667\) −8812.69 + 9303.45i −0.511588 + 0.540076i
\(668\) −22517.0 11937.8i −1.30421 0.691447i
\(669\) −1873.00 355.976i −0.108243 0.0205722i
\(670\) 34461.2 + 20734.6i 1.98709 + 1.19559i
\(671\) 1351.65 221.592i 0.0777644 0.0127488i
\(672\) 14419.7 22647.2i 0.827755 1.30005i
\(673\) 24357.4 6762.80i 1.39511 0.387350i 0.512997 0.858390i \(-0.328535\pi\)
0.882112 + 0.471040i \(0.156121\pi\)
\(674\) −1611.30 + 2119.63i −0.0920846 + 0.121135i
\(675\) 539.322 2893.26i 0.0307534 0.164980i
\(676\) 3860.40 13903.9i 0.219640 0.791073i
\(677\) −9888.93 + 5242.78i −0.561392 + 0.297631i −0.724836 0.688921i \(-0.758085\pi\)
0.163444 + 0.986553i \(0.447740\pi\)
\(678\) 6830.51 + 22106.8i 0.386909 + 1.25222i
\(679\) −28466.0 + 1543.38i −1.60887 + 0.0872305i
\(680\) −49.5726 93.5039i −0.00279562 0.00527310i
\(681\) −466.825 + 18432.9i −0.0262684 + 1.03723i
\(682\) −634.247 834.338i −0.0356108 0.0468452i
\(683\) −16150.4 12277.2i −0.904799 0.687811i 0.0455611 0.998962i \(-0.485492\pi\)
−0.950361 + 0.311151i \(0.899286\pi\)
\(684\) −7373.04 7728.87i −0.412157 0.432048i
\(685\) −1274.14 + 1206.93i −0.0710691 + 0.0673202i
\(686\) −2824.03 17225.8i −0.157175 0.958726i
\(687\) 6523.53 21380.2i 0.362282 1.18735i
\(688\) −10081.6 + 21791.0i −0.558659 + 1.20752i
\(689\) 34.6463 65.3499i 0.00191570 0.00361340i
\(690\) 15513.3 27552.2i 0.855915 1.52014i
\(691\) 3867.36 + 2622.13i 0.212911 + 0.144357i 0.662981 0.748636i \(-0.269291\pi\)
−0.450071 + 0.892993i \(0.648601\pi\)
\(692\) 12801.1 + 2817.74i 0.703215 + 0.154789i
\(693\) 1643.31 1122.67i 0.0900784 0.0615393i
\(694\) 15709.9 9452.34i 0.859280 0.517011i
\(695\) −14891.8 + 12649.2i −0.812772 + 0.690375i
\(696\) 1478.18 + 2303.64i 0.0805033 + 0.125458i
\(697\) −382.863 + 84.2745i −0.0208063 + 0.00457981i
\(698\) 28715.6 + 11441.3i 1.55717 + 0.620431i
\(699\) 3769.04 7633.34i 0.203946 0.413046i
\(700\) 487.523 2973.76i 0.0263237 0.160568i
\(701\) −12964.3 19120.9i −0.698509 1.03022i −0.997119 0.0758483i \(-0.975834\pi\)
0.298611 0.954375i \(-0.403477\pi\)
\(702\) 472.909 966.337i 0.0254256 0.0519544i
\(703\) 3602.96 10693.2i 0.193298 0.573688i
\(704\) −1063.99 115.716i −0.0569610 0.00619489i
\(705\) −4143.33 5135.97i −0.221343 0.274372i
\(706\) 1618.68 29854.8i 0.0862887 1.59150i
\(707\) 39744.1 2.11419
\(708\) −15317.0 + 2341.57i −0.813062 + 0.124296i
\(709\) −28099.3 −1.48842 −0.744211 0.667945i \(-0.767174\pi\)
−0.744211 + 0.667945i \(0.767174\pi\)
\(710\) −853.354 + 15739.2i −0.0451068 + 0.831945i
\(711\) −7640.03 + 10124.2i −0.402987 + 0.534017i
\(712\) 3026.87 + 329.192i 0.159321 + 0.0173272i
\(713\) 3423.67 10161.1i 0.179828 0.533710i
\(714\) −567.634 + 409.250i −0.0297523 + 0.0214507i
\(715\) 45.9762 + 67.8098i 0.00240477 + 0.00354677i
\(716\) −2658.85 + 16218.3i −0.138779 + 0.846516i
\(717\) −14350.2 7085.56i −0.747446 0.369059i
\(718\) 31156.9 + 12414.1i 1.61945 + 0.645249i
\(719\) −14659.5 + 3226.80i −0.760372 + 0.167371i −0.578199 0.815896i \(-0.696244\pi\)
−0.182173 + 0.983266i \(0.558313\pi\)
\(720\) −17428.0 16392.5i −0.902085 0.848487i
\(721\) 17331.1 14721.2i 0.895207 0.760396i
\(722\) −10614.3 + 6386.44i −0.547126 + 0.329195i
\(723\) −15298.6 + 5651.07i −0.786947 + 0.290685i
\(724\) 24012.9 + 5285.65i 1.23264 + 0.271325i
\(725\) 1686.89 + 1143.74i 0.0864134 + 0.0585897i
\(726\) 22814.3 + 12845.6i 1.16628 + 0.656674i
\(727\) −13186.6 + 24872.5i −0.672714 + 1.26887i 0.278527 + 0.960428i \(0.410154\pi\)
−0.951242 + 0.308446i \(0.900191\pi\)
\(728\) −99.8122 + 215.740i −0.00508144 + 0.0109833i
\(729\) −11745.3 + 15794.6i −0.596722 + 0.802448i
\(730\) 7218.22 + 44029.2i 0.365970 + 2.23232i
\(731\) 383.967 363.713i 0.0194275 0.0184027i
\(732\) −12061.9 + 6847.60i −0.609046 + 0.345758i
\(733\) −19245.6 14630.1i −0.969786 0.737212i −0.00492930 0.999988i \(-0.501569\pi\)
−0.964857 + 0.262775i \(0.915362\pi\)
\(734\) 5138.69 + 6759.84i 0.258410 + 0.339932i
\(735\) 8384.55 + 212.343i 0.420774 + 0.0106563i
\(736\) −14622.8 27581.5i −0.732342 1.38134i
\(737\) 2939.12 159.355i 0.146898 0.00796459i
\(738\) −21390.4 + 12973.1i −1.06693 + 0.647082i
\(739\) 20518.3 10878.1i 1.02135 0.541485i 0.128438 0.991718i \(-0.459004\pi\)
0.892911 + 0.450233i \(0.148659\pi\)
\(740\) −3991.71 + 14376.8i −0.198295 + 0.714193i
\(741\) 489.703 + 392.215i 0.0242776 + 0.0194445i
\(742\) −1857.99 + 2444.14i −0.0919256 + 0.120926i
\(743\) −36316.1 + 10083.1i −1.79315 + 0.497864i −0.994574 0.104036i \(-0.966824\pi\)
−0.798571 + 0.601900i \(0.794411\pi\)
\(744\) −1931.85 1230.02i −0.0951948 0.0606113i
\(745\) −30431.3 + 4988.96i −1.49653 + 0.245344i
\(746\) −45005.1 27078.7i −2.20879 1.32898i
\(747\) 10140.0 585.631i 0.496657 0.0286842i
\(748\) 31.7121 + 16.8127i 0.00155014 + 0.000821834i
\(749\) 16641.1 17567.8i 0.811821 0.857030i
\(750\) 23421.8 + 8557.91i 1.14032 + 0.416654i
\(751\) −266.415 + 1210.33i −0.0129449 + 0.0588092i −0.982650 0.185468i \(-0.940620\pi\)
0.969705 + 0.244278i \(0.0785508\pi\)
\(752\) −7663.95 + 833.505i −0.371643 + 0.0404186i
\(753\) 4333.12 + 4317.87i 0.209705 + 0.208967i
\(754\) 482.315 + 567.825i 0.0232956 + 0.0274257i
\(755\) 31921.1 10755.5i 1.53871 0.518452i
\(756\) −11670.7 + 16430.4i −0.561456 + 0.790434i
\(757\) −7742.20 + 19431.4i −0.371724 + 0.932956i 0.617503 + 0.786568i \(0.288144\pi\)
−0.989227 + 0.146388i \(0.953235\pi\)
\(758\) −1314.46 + 1547.50i −0.0629860 + 0.0741529i
\(759\) −191.876 2306.16i −0.00917611 0.110287i
\(760\) 3259.88 2210.26i 0.155590 0.105493i
\(761\) −20213.1 + 8053.62i −0.962842 + 0.383631i −0.797979 0.602685i \(-0.794097\pi\)
−0.164863 + 0.986317i \(0.552718\pi\)
\(762\) −28113.9 2239.37i −1.33656 0.106461i
\(763\) 4292.61 39469.9i 0.203674 1.87275i
\(764\) 17339.1 8021.90i 0.821080 0.379872i
\(765\) 222.978 + 477.533i 0.0105383 + 0.0225690i
\(766\) 24804.3i 1.16999i
\(767\) 873.327 256.196i 0.0411135 0.0120609i
\(768\) −25927.8 + 6496.51i −1.21822 + 0.305238i
\(769\) 2036.61 + 110.422i 0.0955031 + 0.00517803i 0.101829 0.994802i \(-0.467531\pi\)
−0.00632541 + 0.999980i \(0.502013\pi\)
\(770\) −1427.87 3086.29i −0.0668272 0.144445i
\(771\) −4747.70 34392.9i −0.221769 1.60653i
\(772\) 19029.6 + 6411.81i 0.887163 + 0.298920i
\(773\) 9589.53 + 24067.9i 0.446199