Properties

Label 177.4.e.b.7.2
Level $177$
Weight $4$
Character 177.7
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

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 7.2
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.b.76.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.57971 - 3.80479i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-4.86039 + 12.1987i) q^{4} +(-1.87335 + 0.866706i) q^{5} +(-11.8166 + 7.10982i) q^{6} +(0.688121 - 2.47839i) q^{7} +(23.0364 - 5.07071i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.57971 - 3.80479i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-4.86039 + 12.1987i) q^{4} +(-1.87335 + 0.866706i) q^{5} +(-11.8166 + 7.10982i) q^{6} +(0.688121 - 2.47839i) q^{7} +(23.0364 - 5.07071i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(8.13034 + 4.89186i) q^{10} +(-48.9029 + 46.3233i) q^{11} +(35.7529 + 16.5411i) q^{12} +(57.6303 - 6.26768i) q^{13} +(-11.2049 + 3.77537i) q^{14} +(2.29204 + 5.75259i) q^{15} +(-2.45420 - 2.32474i) q^{16} +(24.6960 + 88.9470i) q^{17} +(19.3789 + 36.5526i) q^{18} +(85.5643 - 65.0443i) q^{19} +(-1.46742 - 27.0650i) q^{20} +(-7.31250 - 2.46387i) q^{21} +(302.405 + 66.5644i) q^{22} +(-55.8834 + 105.407i) q^{23} +(-11.4483 - 69.8315i) q^{24} +(-78.1650 + 92.0230i) q^{25} +(-172.517 - 203.102i) q^{26} +(-4.36811 + 26.6443i) q^{27} +(26.8885 + 20.4401i) q^{28} +(143.576 - 211.759i) q^{29} +(15.9746 - 23.5607i) q^{30} +(-150.448 - 114.367i) q^{31} +(28.0148 - 170.883i) q^{32} +(130.823 + 154.017i) q^{33} +(274.716 - 323.421i) q^{34} +(0.858940 + 5.23930i) q^{35} +(55.3573 - 104.415i) q^{36} +(-209.484 - 46.1110i) q^{37} +(-468.210 - 157.758i) q^{38} +(-9.41532 - 173.655i) q^{39} +(-38.7606 + 29.4651i) q^{40} +(124.589 + 235.000i) q^{41} +(9.48963 + 34.1786i) q^{42} +(384.303 + 364.031i) q^{43} +(-327.395 - 821.699i) q^{44} +(17.6047 - 5.93172i) q^{45} +(545.215 - 59.2957i) q^{46} +(-295.213 - 136.580i) q^{47} +(-7.36261 + 6.97423i) q^{48} +(288.233 + 173.424i) q^{49} +(551.771 + 60.0087i) q^{50} +(270.461 - 59.5329i) q^{51} +(-203.649 + 733.476i) q^{52} +(205.327 - 123.541i) q^{53} +(112.644 - 52.1148i) q^{54} +(51.4638 - 129.164i) q^{55} +(3.28469 - 60.5825i) q^{56} +(-180.950 - 266.881i) q^{57} -1176.08 q^{58} +(12.0188 + 453.028i) q^{59} -81.3141 q^{60} +(282.636 + 416.857i) q^{61} +(-47.0321 + 867.456i) q^{62} +(-8.56843 + 21.5051i) q^{63} +(-746.986 + 345.592i) q^{64} +(-102.530 + 61.6902i) q^{65} +(248.516 - 895.074i) q^{66} +(122.606 - 26.9877i) q^{67} +(-1205.07 - 131.059i) q^{68} +(306.682 + 184.524i) q^{69} +(17.7186 - 16.7839i) q^{70} +(-255.374 - 118.149i) q^{71} +(-211.047 + 22.9527i) q^{72} +(-328.165 + 110.572i) q^{73} +(364.966 + 915.996i) q^{74} +(262.969 + 249.097i) q^{75} +(377.577 + 1359.91i) q^{76} +(81.1560 + 153.076i) q^{77} +(-636.433 + 483.804i) q^{78} +(29.1124 + 536.946i) q^{79} +(6.61246 + 2.22800i) q^{80} +(79.1063 + 17.4126i) q^{81} +(572.720 - 1080.26i) q^{82} +(128.203 + 782.001i) q^{83} +(65.5975 - 77.2273i) q^{84} +(-123.355 - 145.225i) q^{85} +(393.671 - 2401.28i) q^{86} +(-611.027 - 464.491i) q^{87} +(-891.657 + 1315.10i) q^{88} +(-132.412 + 195.293i) q^{89} +(-67.9840 - 51.6801i) q^{90} +(24.1229 - 147.143i) q^{91} +(-1014.21 - 1194.02i) q^{92} +(-367.034 + 432.106i) q^{93} +(241.906 + 1475.56i) q^{94} +(-103.918 + 196.010i) q^{95} +(-507.346 - 111.675i) q^{96} +(-117.215 - 39.4945i) q^{97} +(-83.7159 - 1544.05i) q^{98} +(482.622 - 366.880i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.57971 3.80479i −0.912065 1.34519i −0.938403 0.345542i \(-0.887695\pi\)
0.0263386 0.999653i \(-0.491615\pi\)
\(3\) 0.162417 2.99560i 0.0312571 0.576504i
\(4\) −4.86039 + 12.1987i −0.607549 + 1.52483i
\(5\) −1.87335 + 0.866706i −0.167558 + 0.0775206i −0.501875 0.864940i \(-0.667356\pi\)
0.334317 + 0.942461i \(0.391494\pi\)
\(6\) −11.8166 + 7.10982i −0.804018 + 0.483762i
\(7\) 0.688121 2.47839i 0.0371551 0.133820i −0.942646 0.333793i \(-0.891671\pi\)
0.979802 + 0.199972i \(0.0640852\pi\)
\(8\) 23.0364 5.07071i 1.01808 0.224096i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) 8.13034 + 4.89186i 0.257104 + 0.154694i
\(11\) −48.9029 + 46.3233i −1.34043 + 1.26973i −0.405870 + 0.913931i \(0.633032\pi\)
−0.934564 + 0.355796i \(0.884210\pi\)
\(12\) 35.7529 + 16.5411i 0.860081 + 0.397916i
\(13\) 57.6303 6.26768i 1.22952 0.133719i 0.529793 0.848127i \(-0.322270\pi\)
0.699729 + 0.714409i \(0.253304\pi\)
\(14\) −11.2049 + 3.77537i −0.213902 + 0.0720721i
\(15\) 2.29204 + 5.75259i 0.0394535 + 0.0990208i
\(16\) −2.45420 2.32474i −0.0383469 0.0363241i
\(17\) 24.6960 + 88.9470i 0.352333 + 1.26899i 0.901318 + 0.433158i \(0.142601\pi\)
−0.548985 + 0.835832i \(0.684986\pi\)
\(18\) 19.3789 + 36.5526i 0.253759 + 0.478640i
\(19\) 85.5643 65.0443i 1.03315 0.785378i 0.0561049 0.998425i \(-0.482132\pi\)
0.977042 + 0.213047i \(0.0683388\pi\)
\(20\) −1.46742 27.0650i −0.0164062 0.302595i
\(21\) −7.31250 2.46387i −0.0759866 0.0256029i
\(22\) 302.405 + 66.5644i 2.93059 + 0.645072i
\(23\) −55.8834 + 105.407i −0.506630 + 0.955606i 0.489852 + 0.871805i \(0.337051\pi\)
−0.996483 + 0.0838006i \(0.973294\pi\)
\(24\) −11.4483 69.8315i −0.0973698 0.593929i
\(25\) −78.1650 + 92.0230i −0.625320 + 0.736184i
\(26\) −172.517 203.102i −1.30128 1.53199i
\(27\) −4.36811 + 26.6443i −0.0311350 + 0.189915i
\(28\) 26.8885 + 20.4401i 0.181480 + 0.137958i
\(29\) 143.576 211.759i 0.919361 1.35596i −0.0150984 0.999886i \(-0.504806\pi\)
0.934459 0.356070i \(-0.115883\pi\)
\(30\) 15.9746 23.5607i 0.0972181 0.143386i
\(31\) −150.448 114.367i −0.871652 0.662613i 0.0706043 0.997504i \(-0.477507\pi\)
−0.942257 + 0.334891i \(0.891300\pi\)
\(32\) 28.0148 170.883i 0.154761 0.944002i
\(33\) 130.823 + 154.017i 0.690104 + 0.812453i
\(34\) 274.716 323.421i 1.38569 1.63136i
\(35\) 0.858940 + 5.23930i 0.00414821 + 0.0253029i
\(36\) 55.3573 104.415i 0.256284 0.483402i
\(37\) −209.484 46.1110i −0.930784 0.204881i −0.276399 0.961043i \(-0.589141\pi\)
−0.654385 + 0.756162i \(0.727072\pi\)
\(38\) −468.210 157.758i −1.99878 0.673468i
\(39\) −9.41532 173.655i −0.0386579 0.713003i
\(40\) −38.7606 + 29.4651i −0.153215 + 0.116471i
\(41\) 124.589 + 235.000i 0.474573 + 0.895141i 0.999044 + 0.0437121i \(0.0139184\pi\)
−0.524471 + 0.851429i \(0.675737\pi\)
\(42\) 9.48963 + 34.1786i 0.0348638 + 0.125568i
\(43\) 384.303 + 364.031i 1.36292 + 1.29103i 0.918615 + 0.395154i \(0.129309\pi\)
0.444307 + 0.895874i \(0.353450\pi\)
\(44\) −327.395 821.699i −1.12174 2.81536i
\(45\) 17.6047 5.93172i 0.0583190 0.0196500i
\(46\) 545.215 59.2957i 1.74756 0.190058i
\(47\) −295.213 136.580i −0.916197 0.423878i −0.0956229 0.995418i \(-0.530484\pi\)
−0.820574 + 0.571540i \(0.806346\pi\)
\(48\) −7.36261 + 6.97423i −0.0221396 + 0.0209717i
\(49\) 288.233 + 173.424i 0.840330 + 0.505610i
\(50\) 551.771 + 60.0087i 1.56064 + 0.169730i
\(51\) 270.461 59.5329i 0.742590 0.163456i
\(52\) −203.649 + 733.476i −0.543096 + 1.95606i
\(53\) 205.327 123.541i 0.532147 0.320182i −0.223995 0.974590i \(-0.571910\pi\)
0.756141 + 0.654408i \(0.227082\pi\)
\(54\) 112.644 52.1148i 0.283870 0.131332i
\(55\) 51.4638 129.164i 0.126170 0.316664i
\(56\) 3.28469 60.5825i 0.00783812 0.144566i
\(57\) −180.950 266.881i −0.420480 0.620161i
\(58\) −1176.08 −2.66254
\(59\) 12.0188 + 453.028i 0.0265205 + 0.999648i
\(60\) −81.3141 −0.174960
\(61\) 282.636 + 416.857i 0.593244 + 0.874969i 0.999243 0.0389043i \(-0.0123867\pi\)
−0.405999 + 0.913873i \(0.633076\pi\)
\(62\) −47.0321 + 867.456i −0.0963401 + 1.77689i
\(63\) −8.56843 + 21.5051i −0.0171353 + 0.0430063i
\(64\) −746.986 + 345.592i −1.45896 + 0.674985i
\(65\) −102.530 + 61.6902i −0.195650 + 0.117719i
\(66\) 248.516 895.074i 0.463488 1.66933i
\(67\) 122.606 26.9877i 0.223563 0.0492100i −0.101776 0.994807i \(-0.532453\pi\)
0.325339 + 0.945597i \(0.394522\pi\)
\(68\) −1205.07 131.059i −2.14906 0.233724i
\(69\) 306.682 + 184.524i 0.535074 + 0.321944i
\(70\) 17.7186 16.7839i 0.0302540 0.0286581i
\(71\) −255.374 118.149i −0.426864 0.197488i 0.194681 0.980867i \(-0.437633\pi\)
−0.621545 + 0.783378i \(0.713495\pi\)
\(72\) −211.047 + 22.9527i −0.345446 + 0.0375695i
\(73\) −328.165 + 110.572i −0.526147 + 0.177280i −0.569825 0.821766i \(-0.692989\pi\)
0.0436778 + 0.999046i \(0.486093\pi\)
\(74\) 364.966 + 915.996i 0.573330 + 1.43895i
\(75\) 262.969 + 249.097i 0.404867 + 0.383510i
\(76\) 377.577 + 1359.91i 0.569883 + 2.05253i
\(77\) 81.1560 + 153.076i 0.120111 + 0.226554i
\(78\) −636.433 + 483.804i −0.923870 + 0.702308i
\(79\) 29.1124 + 536.946i 0.0414607 + 0.764698i 0.943161 + 0.332336i \(0.107837\pi\)
−0.901700 + 0.432362i \(0.857680\pi\)
\(80\) 6.61246 + 2.22800i 0.00924119 + 0.00311372i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) 572.720 1080.26i 0.771297 1.45482i
\(83\) 128.203 + 782.001i 0.169543 + 1.03417i 0.925278 + 0.379289i \(0.123831\pi\)
−0.755736 + 0.654877i \(0.772720\pi\)
\(84\) 65.5975 77.2273i 0.0852056 0.100312i
\(85\) −123.355 145.225i −0.157409 0.185316i
\(86\) 393.671 2401.28i 0.493612 3.01090i
\(87\) −611.027 464.491i −0.752977 0.572398i
\(88\) −891.657 + 1315.10i −1.08012 + 1.59306i
\(89\) −132.412 + 195.293i −0.157704 + 0.232596i −0.898330 0.439322i \(-0.855219\pi\)
0.740626 + 0.671918i \(0.234529\pi\)
\(90\) −67.9840 51.6801i −0.0796238 0.0605284i
\(91\) 24.1229 147.143i 0.0277887 0.169503i
\(92\) −1014.21 1194.02i −1.14934 1.35310i
\(93\) −367.034 + 432.106i −0.409244 + 0.481799i
\(94\) 241.906 + 1475.56i 0.265433 + 1.61907i
\(95\) −103.918 + 196.010i −0.112229 + 0.211686i
\(96\) −507.346 111.675i −0.539383 0.118727i
\(97\) −117.215 39.4945i −0.122695 0.0413408i 0.257284 0.966336i \(-0.417172\pi\)
−0.379979 + 0.924995i \(0.624069\pi\)
\(98\) −83.7159 1544.05i −0.0862917 1.59156i
\(99\) 482.622 366.880i 0.489953 0.372452i
\(100\) −742.645 1400.78i −0.742645 1.40078i
\(101\) 216.205 + 778.702i 0.213002 + 0.767166i 0.990409 + 0.138167i \(0.0441211\pi\)
−0.777406 + 0.628999i \(0.783465\pi\)
\(102\) −924.220 875.468i −0.897171 0.849846i
\(103\) 645.125 + 1619.14i 0.617146 + 1.54892i 0.821612 + 0.570047i \(0.193075\pi\)
−0.204466 + 0.978874i \(0.565546\pi\)
\(104\) 1295.82 436.611i 1.22178 0.411666i
\(105\) 15.8344 1.72209i 0.0147169 0.00160056i
\(106\) −999.729 462.524i −0.916060 0.423814i
\(107\) −834.561 + 790.538i −0.754019 + 0.714245i −0.964712 0.263308i \(-0.915187\pi\)
0.210693 + 0.977552i \(0.432428\pi\)
\(108\) −303.794 182.787i −0.270672 0.162858i
\(109\) −343.987 37.4108i −0.302275 0.0328744i −0.0442752 0.999019i \(-0.514098\pi\)
−0.258000 + 0.966145i \(0.583063\pi\)
\(110\) −624.204 + 137.398i −0.541050 + 0.119094i
\(111\) −172.154 + 620.042i −0.147208 + 0.530196i
\(112\) −7.45041 + 4.48276i −0.00628569 + 0.00378197i
\(113\) −88.1038 + 40.7612i −0.0733461 + 0.0339335i −0.456219 0.889867i \(-0.650797\pi\)
0.382873 + 0.923801i \(0.374935\pi\)
\(114\) −548.626 + 1376.95i −0.450733 + 1.13125i
\(115\) 13.3323 245.900i 0.0108108 0.199394i
\(116\) 1885.34 + 2780.67i 1.50905 + 2.22568i
\(117\) −521.731 −0.412257
\(118\) 1692.67 1214.41i 1.32053 0.947419i
\(119\) 237.439 0.182908
\(120\) 81.9702 + 120.897i 0.0623568 + 0.0919694i
\(121\) 173.588 3201.64i 0.130419 2.40544i
\(122\) 856.934 2150.74i 0.635927 1.59606i
\(123\) 724.200 335.051i 0.530886 0.245614i
\(124\) 2126.37 1279.39i 1.53995 0.926555i
\(125\) 135.701 488.749i 0.0970995 0.349721i
\(126\) 103.927 22.8760i 0.0734803 0.0161742i
\(127\) −611.766 66.5336i −0.427444 0.0464874i −0.108131 0.994137i \(-0.534487\pi\)
−0.319313 + 0.947649i \(0.603452\pi\)
\(128\) 2054.90 + 1236.39i 1.41898 + 0.853770i
\(129\) 1152.91 1092.09i 0.786884 0.745376i
\(130\) 499.215 + 230.961i 0.336800 + 0.155820i
\(131\) 2581.17 280.719i 1.72151 0.187225i 0.806658 0.591019i \(-0.201274\pi\)
0.914850 + 0.403794i \(0.132309\pi\)
\(132\) −2514.66 + 847.286i −1.65813 + 0.558688i
\(133\) −102.326 256.820i −0.0667129 0.167437i
\(134\) −418.970 396.870i −0.270101 0.255853i
\(135\) −14.9098 53.7001i −0.00950540 0.0342353i
\(136\) 1019.93 + 1923.80i 0.643077 + 1.21297i
\(137\) 166.582 126.632i 0.103883 0.0789701i −0.551943 0.833882i \(-0.686113\pi\)
0.655826 + 0.754912i \(0.272320\pi\)
\(138\) −89.0742 1642.88i −0.0549456 1.01341i
\(139\) −935.072 315.063i −0.570589 0.192254i 0.0191940 0.999816i \(-0.493890\pi\)
−0.589783 + 0.807562i \(0.700787\pi\)
\(140\) −68.0872 14.9871i −0.0411030 0.00904746i
\(141\) −457.087 + 862.158i −0.273005 + 0.514942i
\(142\) 209.261 + 1276.43i 0.123667 + 0.754337i
\(143\) −2527.95 + 2976.13i −1.47831 + 1.74040i
\(144\) 19.6962 + 23.1882i 0.0113983 + 0.0134191i
\(145\) −85.4364 + 521.139i −0.0489318 + 0.298471i
\(146\) 1267.27 + 963.354i 0.718356 + 0.546080i
\(147\) 566.323 835.264i 0.317752 0.468649i
\(148\) 1580.67 2331.31i 0.877906 1.29481i
\(149\) −679.307 516.396i −0.373497 0.283925i 0.401539 0.915842i \(-0.368475\pi\)
−0.775036 + 0.631917i \(0.782268\pi\)
\(150\) 269.379 1643.14i 0.146631 0.894411i
\(151\) −2.34457 2.76024i −0.00126357 0.00148758i 0.761530 0.648130i \(-0.224449\pi\)
−0.762793 + 0.646642i \(0.776173\pi\)
\(152\) 1641.28 1932.26i 0.875823 1.03110i
\(153\) −134.410 819.862i −0.0710220 0.433215i
\(154\) 373.064 703.673i 0.195210 0.368205i
\(155\) 380.965 + 83.8568i 0.197418 + 0.0434551i
\(156\) 2164.13 + 729.179i 1.11070 + 0.374238i
\(157\) −50.4668 930.806i −0.0256541 0.473162i −0.982929 0.183983i \(-0.941101\pi\)
0.957275 0.289178i \(-0.0933821\pi\)
\(158\) 1967.86 1495.93i 0.990853 0.753227i
\(159\) −336.731 635.141i −0.167953 0.316792i
\(160\) 95.6234 + 344.404i 0.0472481 + 0.170172i
\(161\) 222.786 + 211.034i 0.109056 + 0.103303i
\(162\) −137.820 345.902i −0.0668404 0.167757i
\(163\) −3435.61 + 1157.59i −1.65090 + 0.556254i −0.982292 0.187357i \(-0.940008\pi\)
−0.668612 + 0.743611i \(0.733111\pi\)
\(164\) −3472.23 + 377.628i −1.65327 + 0.179804i
\(165\) −378.566 175.143i −0.178614 0.0826357i
\(166\) 2644.62 2505.12i 1.23652 1.17129i
\(167\) 1307.97 + 786.977i 0.606068 + 0.364659i 0.785270 0.619153i \(-0.212524\pi\)
−0.179202 + 0.983812i \(0.557352\pi\)
\(168\) −180.948 19.6792i −0.0830976 0.00903741i
\(169\) 1136.34 250.127i 0.517222 0.113849i
\(170\) −234.330 + 843.979i −0.105719 + 0.380766i
\(171\) −828.857 + 498.707i −0.370668 + 0.223024i
\(172\) −6308.56 + 2918.65i −2.79664 + 1.29387i
\(173\) 541.340 1358.66i 0.237904 0.597093i −0.760746 0.649050i \(-0.775167\pi\)
0.998649 + 0.0519571i \(0.0165459\pi\)
\(174\) −191.016 + 3523.08i −0.0832234 + 1.53496i
\(175\) 174.282 + 257.046i 0.0752826 + 0.111034i
\(176\) 227.707 0.0975232
\(177\) 1359.04 + 37.5759i 0.577130 + 0.0159569i
\(178\) 1084.63 0.456723
\(179\) −1774.52 2617.22i −0.740970 1.09285i −0.992168 0.124913i \(-0.960135\pi\)
0.251198 0.967936i \(-0.419176\pi\)
\(180\) −13.2068 + 243.585i −0.00546875 + 0.100865i
\(181\) −232.019 + 582.323i −0.0952808 + 0.239137i −0.968890 0.247491i \(-0.920394\pi\)
0.873609 + 0.486628i \(0.161773\pi\)
\(182\) −622.079 + 287.804i −0.253360 + 0.117217i
\(183\) 1294.64 778.961i 0.522966 0.314658i
\(184\) −752.866 + 2711.58i −0.301641 + 1.08641i
\(185\) 432.403 95.1791i 0.171843 0.0378254i
\(186\) 2590.91 + 281.779i 1.02137 + 0.111081i
\(187\) −5328.03 3205.77i −2.08355 1.25363i
\(188\) 3100.95 2937.37i 1.20298 1.13952i
\(189\) 63.0292 + 29.1604i 0.0242577 + 0.0112228i
\(190\) 1013.85 110.263i 0.387120 0.0421018i
\(191\) −3099.04 + 1044.19i −1.17403 + 0.395575i −0.837679 0.546163i \(-0.816088\pi\)
−0.336347 + 0.941738i \(0.609191\pi\)
\(192\) 913.934 + 2293.80i 0.343529 + 0.862192i
\(193\) 3542.10 + 3355.25i 1.32107 + 1.25138i 0.945914 + 0.324418i \(0.105168\pi\)
0.375153 + 0.926963i \(0.377590\pi\)
\(194\) 152.114 + 547.864i 0.0562944 + 0.202754i
\(195\) 168.146 + 317.158i 0.0617498 + 0.116473i
\(196\) −3516.47 + 2673.15i −1.28151 + 0.974180i
\(197\) 7.55129 + 139.275i 0.00273100 + 0.0503703i 0.999581 0.0289365i \(-0.00921207\pi\)
−0.996850 + 0.0793068i \(0.974729\pi\)
\(198\) −2640.92 889.830i −0.947889 0.319381i
\(199\) −621.527 136.808i −0.221401 0.0487342i 0.102884 0.994693i \(-0.467193\pi\)
−0.324286 + 0.945959i \(0.605124\pi\)
\(200\) −1334.02 + 2516.23i −0.471648 + 0.889623i
\(201\) −60.9309 371.662i −0.0213818 0.130423i
\(202\) 2405.05 2831.44i 0.837715 0.986234i
\(203\) −426.024 501.554i −0.147296 0.173410i
\(204\) −588.323 + 3588.61i −0.201916 + 1.23163i
\(205\) −437.075 332.256i −0.148910 0.113199i
\(206\) 4496.25 6631.48i 1.52072 2.24290i
\(207\) 602.571 888.726i 0.202327 0.298409i
\(208\) −156.007 118.594i −0.0520056 0.0395336i
\(209\) −1171.28 + 7144.47i −0.387650 + 2.36456i
\(210\) −47.4002 55.8038i −0.0155758 0.0183373i
\(211\) 1350.27 1589.67i 0.440553 0.518659i −0.496410 0.868088i \(-0.665349\pi\)
0.936963 + 0.349429i \(0.113624\pi\)
\(212\) 509.066 + 3105.17i 0.164919 + 1.00596i
\(213\) −395.403 + 745.810i −0.127195 + 0.239916i
\(214\) 5160.75 + 1135.97i 1.64851 + 0.362865i
\(215\) −1035.44 348.882i −0.328450 0.110668i
\(216\) 34.4797 + 635.940i 0.0108613 + 0.200325i
\(217\) −386.973 + 294.169i −0.121057 + 0.0920255i
\(218\) 745.046 + 1405.31i 0.231472 + 0.436602i
\(219\) 277.929 + 1001.01i 0.0857565 + 0.308867i
\(220\) 1325.50 + 1255.58i 0.406205 + 0.384778i
\(221\) 1980.73 + 4971.26i 0.602889 + 1.51314i
\(222\) 2803.23 944.519i 0.847481 0.285550i
\(223\) −2349.75 + 255.550i −0.705609 + 0.0767396i −0.453886 0.891060i \(-0.649963\pi\)
−0.251723 + 0.967799i \(0.580997\pi\)
\(224\) −404.236 187.019i −0.120577 0.0557846i
\(225\) 788.906 747.292i 0.233750 0.221420i
\(226\) 382.370 + 230.064i 0.112544 + 0.0677152i
\(227\) −5616.51 610.832i −1.64221 0.178601i −0.760151 0.649746i \(-0.774875\pi\)
−0.882056 + 0.471145i \(0.843841\pi\)
\(228\) 4135.07 910.198i 1.20110 0.264383i
\(229\) −1754.15 + 6317.88i −0.506190 + 1.82313i 0.0591171 + 0.998251i \(0.481171\pi\)
−0.565307 + 0.824881i \(0.691242\pi\)
\(230\) −969.989 + 583.623i −0.278083 + 0.167317i
\(231\) 471.737 218.249i 0.134364 0.0621632i
\(232\) 2233.72 5606.22i 0.632116 1.58649i
\(233\) 152.768 2817.64i 0.0429535 0.792231i −0.895126 0.445812i \(-0.852915\pi\)
0.938080 0.346419i \(-0.112602\pi\)
\(234\) 1345.92 + 1985.08i 0.376005 + 0.554566i
\(235\) 671.414 0.186375
\(236\) −5584.75 2055.28i −1.54041 0.566896i
\(237\) 1613.20 0.442147
\(238\) −612.524 903.405i −0.166824 0.246046i
\(239\) 360.046 6640.67i 0.0974455 1.79728i −0.386615 0.922241i \(-0.626356\pi\)
0.484060 0.875035i \(-0.339162\pi\)
\(240\) 7.74816 19.4464i 0.00208392 0.00523025i
\(241\) 5114.78 2366.35i 1.36710 0.632489i 0.407333 0.913280i \(-0.366459\pi\)
0.959769 + 0.280791i \(0.0905966\pi\)
\(242\) −12629.3 + 7598.82i −3.35473 + 2.01847i
\(243\) 65.0094 234.143i 0.0171620 0.0618118i
\(244\) −6458.83 + 1421.70i −1.69461 + 0.373011i
\(245\) −690.271 75.0714i −0.179999 0.0195761i
\(246\) −3143.02 1891.09i −0.814600 0.490129i
\(247\) 4523.42 4284.81i 1.16526 1.10379i
\(248\) −4045.71 1871.74i −1.03590 0.479257i
\(249\) 2363.38 257.034i 0.601500 0.0654170i
\(250\) −2209.65 + 744.519i −0.559003 + 0.188350i
\(251\) 2258.91 + 5669.43i 0.568051 + 1.42570i 0.879711 + 0.475508i \(0.157736\pi\)
−0.311660 + 0.950194i \(0.600885\pi\)
\(252\) −220.688 209.047i −0.0551668 0.0522568i
\(253\) −2149.95 7743.42i −0.534254 1.92421i
\(254\) 1325.03 + 2499.28i 0.327322 + 0.617396i
\(255\) −455.072 + 345.936i −0.111756 + 0.0849544i
\(256\) −240.360 4433.18i −0.0586817 1.08232i
\(257\) 3124.54 + 1052.78i 0.758380 + 0.255528i 0.671816 0.740718i \(-0.265515\pi\)
0.0865644 + 0.996246i \(0.472411\pi\)
\(258\) −7129.35 1569.29i −1.72036 0.378681i
\(259\) −258.432 + 487.454i −0.0620006 + 0.116946i
\(260\) −254.202 1550.57i −0.0606344 0.369854i
\(261\) −1490.67 + 1754.95i −0.353525 + 0.416202i
\(262\) −7726.73 9096.61i −1.82198 2.14500i
\(263\) 723.094 4410.68i 0.169536 1.03412i −0.755752 0.654858i \(-0.772729\pi\)
0.925288 0.379265i \(-0.123823\pi\)
\(264\) 3794.68 + 2884.64i 0.884646 + 0.672490i
\(265\) −277.576 + 409.394i −0.0643447 + 0.0949014i
\(266\) −713.172 + 1051.85i −0.164389 + 0.242455i
\(267\) 563.515 + 428.373i 0.129163 + 0.0981872i
\(268\) −266.701 + 1626.80i −0.0607886 + 0.370794i
\(269\) −1909.53 2248.07i −0.432810 0.509544i 0.501914 0.864918i \(-0.332629\pi\)
−0.934724 + 0.355374i \(0.884354\pi\)
\(270\) −165.855 + 195.259i −0.0373837 + 0.0440115i
\(271\) −45.6397 278.390i −0.0102303 0.0624021i 0.981218 0.192902i \(-0.0617900\pi\)
−0.991448 + 0.130500i \(0.958342\pi\)
\(272\) 146.170 275.706i 0.0325840 0.0614600i
\(273\) −436.865 96.1612i −0.0968507 0.0213185i
\(274\) −911.540 307.134i −0.200979 0.0677176i
\(275\) −440.310 8121.05i −0.0965517 1.78079i
\(276\) −3741.54 + 2844.25i −0.815994 + 0.620303i
\(277\) −3504.25 6609.73i −0.760109 1.43372i −0.896491 0.443062i \(-0.853892\pi\)
0.136382 0.990656i \(-0.456453\pi\)
\(278\) 1213.47 + 4370.52i 0.261795 + 0.942901i
\(279\) 1234.81 + 1169.67i 0.264967 + 0.250990i
\(280\) 46.3539 + 116.339i 0.00989347 + 0.0248307i
\(281\) 858.643 289.311i 0.182286 0.0614193i −0.226678 0.973970i \(-0.572787\pi\)
0.408964 + 0.912550i \(0.365890\pi\)
\(282\) 4459.48 484.997i 0.941695 0.102416i
\(283\) 2280.61 + 1055.12i 0.479039 + 0.221627i 0.644522 0.764585i \(-0.277056\pi\)
−0.165483 + 0.986213i \(0.552918\pi\)
\(284\) 2682.47 2540.97i 0.560477 0.530912i
\(285\) 570.290 + 343.132i 0.118530 + 0.0713171i
\(286\) 17844.9 + 1940.75i 3.68948 + 0.401256i
\(287\) 668.152 147.071i 0.137421 0.0302486i
\(288\) −416.936 + 1501.67i −0.0853062 + 0.307245i
\(289\) −3091.94 + 1860.36i −0.629339 + 0.378661i
\(290\) 2203.22 1019.32i 0.446130 0.206402i
\(291\) −137.347 + 344.716i −0.0276682 + 0.0694419i
\(292\) 246.184 4540.59i 0.0493384 0.909993i
\(293\) 1306.04 + 1926.26i 0.260408 + 0.384073i 0.935307 0.353837i \(-0.115123\pi\)
−0.674899 + 0.737910i \(0.735813\pi\)
\(294\) −4638.95 −0.920235
\(295\) −415.158 838.266i −0.0819370 0.165443i
\(296\) −5059.59 −0.993522
\(297\) −1020.64 1505.33i −0.199406 0.294101i
\(298\) −212.361 + 3916.77i −0.0412810 + 0.761384i
\(299\) −2559.92 + 6424.92i −0.495131 + 1.24268i
\(300\) −4316.78 + 1997.16i −0.830765 + 0.384353i
\(301\) 1166.66 701.955i 0.223405 0.134419i
\(302\) −4.45382 + 16.0412i −0.000848637 + 0.00305651i
\(303\) 2367.79 521.191i 0.448931 0.0988173i
\(304\) −361.203 39.2832i −0.0681461 0.00741134i
\(305\) −890.771 535.959i −0.167231 0.100619i
\(306\) −2772.66 + 2626.40i −0.517982 + 0.490659i
\(307\) −4357.57 2016.03i −0.810097 0.374791i −0.0292960 0.999571i \(-0.509327\pi\)
−0.780801 + 0.624780i \(0.785189\pi\)
\(308\) −2261.78 + 245.983i −0.418431 + 0.0455071i
\(309\) 4955.08 1669.56i 0.912249 0.307372i
\(310\) −663.722 1665.82i −0.121603 0.305200i
\(311\) −4399.13 4167.08i −0.802096 0.759786i 0.172199 0.985062i \(-0.444913\pi\)
−0.974295 + 0.225276i \(0.927672\pi\)
\(312\) −1097.45 3952.66i −0.199138 0.717229i
\(313\) 816.426 + 1539.94i 0.147435 + 0.278092i 0.946220 0.323525i \(-0.104868\pi\)
−0.798785 + 0.601617i \(0.794523\pi\)
\(314\) −3411.33 + 2593.22i −0.613097 + 0.466064i
\(315\) −2.58693 47.7131i −0.000462720 0.00853437i
\(316\) −6691.52 2254.64i −1.19123 0.401371i
\(317\) 3047.71 + 670.851i 0.539989 + 0.118860i 0.476586 0.879128i \(-0.341874\pi\)
0.0634021 + 0.997988i \(0.479805\pi\)
\(318\) −1547.91 + 2919.67i −0.272964 + 0.514864i
\(319\) 2788.09 + 17006.6i 0.489351 + 2.98491i
\(320\) 1099.84 1294.83i 0.192135 0.226198i
\(321\) 2232.59 + 2628.41i 0.388196 + 0.457020i
\(322\) 228.216 1392.06i 0.0394969 0.240920i
\(323\) 7898.59 + 6004.35i 1.36065 + 1.03434i
\(324\) −596.898 + 880.359i −0.102349 + 0.150953i
\(325\) −3927.91 + 5793.23i −0.670403 + 0.988771i
\(326\) 13267.2 + 10085.5i 2.25400 + 1.71345i
\(327\) −167.937 + 1024.37i −0.0284004 + 0.173235i
\(328\) 4061.70 + 4781.80i 0.683749 + 0.804972i
\(329\) −541.641 + 637.669i −0.0907649 + 0.106857i
\(330\) 310.207 + 1892.18i 0.0517465 + 0.315640i
\(331\) 2365.30 4461.42i 0.392775 0.740852i −0.605721 0.795677i \(-0.707115\pi\)
0.998496 + 0.0548250i \(0.0174601\pi\)
\(332\) −10162.5 2236.93i −1.67994 0.369782i
\(333\) 1829.44 + 616.409i 0.301059 + 0.101438i
\(334\) −379.892 7006.70i −0.0622359 1.14787i
\(335\) −206.294 + 156.821i −0.0336450 + 0.0255762i
\(336\) 12.2185 + 23.0465i 0.00198385 + 0.00374194i
\(337\) −16.3602 58.9240i −0.00264450 0.00952461i 0.962216 0.272287i \(-0.0877801\pi\)
−0.964860 + 0.262763i \(0.915366\pi\)
\(338\) −3883.10 3678.27i −0.624890 0.591927i
\(339\) 107.795 + 270.544i 0.0172702 + 0.0433449i
\(340\) 2371.11 798.919i 0.378210 0.127434i
\(341\) 12655.2 1376.34i 2.00973 0.218571i
\(342\) 4035.68 + 1867.10i 0.638084 + 0.295209i
\(343\) 1268.66 1201.74i 0.199712 0.189177i
\(344\) 10698.9 + 6437.30i 1.67687 + 1.00894i
\(345\) −734.452 79.8765i −0.114613 0.0124649i
\(346\) −6565.91 + 1445.27i −1.02019 + 0.224561i
\(347\) −1545.47 + 5566.29i −0.239093 + 0.861136i 0.742451 + 0.669901i \(0.233663\pi\)
−0.981544 + 0.191236i \(0.938750\pi\)
\(348\) 8636.00 5196.11i 1.33028 0.800404i
\(349\) 8312.37 3845.71i 1.27493 0.589846i 0.338589 0.940934i \(-0.390050\pi\)
0.936342 + 0.351088i \(0.114188\pi\)
\(350\) 528.410 1326.21i 0.0806991 0.202540i
\(351\) −84.7379 + 1562.90i −0.0128860 + 0.237668i
\(352\) 6545.84 + 9654.39i 0.991177 + 1.46188i
\(353\) −941.280 −0.141924 −0.0709622 0.997479i \(-0.522607\pi\)
−0.0709622 + 0.997479i \(0.522607\pi\)
\(354\) −3362.97 5267.80i −0.504914 0.790906i
\(355\) 580.807 0.0868338
\(356\) −1738.74 2564.45i −0.258857 0.381786i
\(357\) 38.5641 711.273i 0.00571717 0.105447i
\(358\) −5380.21 + 13503.3i −0.794282 + 1.99350i
\(359\) 9328.09 4315.64i 1.37136 0.634458i 0.410593 0.911819i \(-0.365322\pi\)
0.960766 + 0.277360i \(0.0894595\pi\)
\(360\) 375.472 225.914i 0.0549698 0.0330742i
\(361\) 1255.51 4521.94i 0.183046 0.659271i
\(362\) 2814.16 619.443i 0.408588 0.0899370i
\(363\) −9562.63 1040.00i −1.38267 0.150374i
\(364\) 1677.70 + 1009.44i 0.241581 + 0.145355i
\(365\) 518.936 491.562i 0.0744173 0.0704919i
\(366\) −6303.58 2916.35i −0.900255 0.416502i
\(367\) −13244.5 + 1440.42i −1.88380 + 0.204876i −0.976488 0.215573i \(-0.930838\pi\)
−0.907316 + 0.420449i \(0.861872\pi\)
\(368\) 382.194 128.776i 0.0541392 0.0182416i
\(369\) −886.055 2223.83i −0.125003 0.313735i
\(370\) −1477.61 1399.67i −0.207614 0.196663i
\(371\) −164.893 593.890i −0.0230750 0.0831085i
\(372\) −3487.19 6577.54i −0.486028 0.916746i
\(373\) −3376.41 + 2566.68i −0.468697 + 0.356294i −0.812708 0.582672i \(-0.802007\pi\)
0.344011 + 0.938966i \(0.388214\pi\)
\(374\) 1547.50 + 28541.9i 0.213955 + 3.94617i
\(375\) −1442.06 485.886i −0.198580 0.0669094i
\(376\) −7493.22 1649.38i −1.02775 0.226225i
\(377\) 6947.12 13103.7i 0.949058 1.79011i
\(378\) −51.6478 315.038i −0.00702772 0.0428672i
\(379\) 3234.29 3807.70i 0.438349 0.516064i −0.497980 0.867189i \(-0.665925\pi\)
0.936329 + 0.351124i \(0.114201\pi\)
\(380\) −1885.98 2220.35i −0.254602 0.299740i
\(381\) −298.669 + 1821.80i −0.0401608 + 0.244970i
\(382\) 11967.5 + 9097.49i 1.60291 + 1.21850i
\(383\) 3418.42 5041.79i 0.456065 0.672646i −0.528245 0.849092i \(-0.677150\pi\)
0.984310 + 0.176446i \(0.0564601\pi\)
\(384\) 4037.48 5954.84i 0.536555 0.791359i
\(385\) −284.706 216.428i −0.0376882 0.0286498i
\(386\) 3628.44 22132.5i 0.478453 2.91843i
\(387\) −3084.22 3631.03i −0.405116 0.476939i
\(388\) 1051.49 1237.91i 0.137581 0.161973i
\(389\) 657.783 + 4012.30i 0.0857351 + 0.522961i 0.994421 + 0.105481i \(0.0336383\pi\)
−0.908686 + 0.417480i \(0.862913\pi\)
\(390\) 772.949 1457.94i 0.100358 0.189296i
\(391\) −10755.8 2367.52i −1.39116 0.306217i
\(392\) 7519.25 + 2533.53i 0.968825 + 0.326435i
\(393\) −421.697 7777.73i −0.0541267 0.998307i
\(394\) 510.432 388.021i 0.0652670 0.0496147i
\(395\) −519.912 980.659i −0.0662269 0.124917i
\(396\) 2129.71 + 7670.52i 0.270257 + 0.973379i
\(397\) 1289.74 + 1221.71i 0.163048 + 0.154447i 0.764874 0.644180i \(-0.222801\pi\)
−0.601826 + 0.798627i \(0.705560\pi\)
\(398\) 1082.83 + 2717.70i 0.136376 + 0.342277i
\(399\) −785.949 + 264.817i −0.0986132 + 0.0332267i
\(400\) 405.762 44.1293i 0.0507203 0.00551617i
\(401\) 224.110 + 103.684i 0.0279090 + 0.0129121i 0.433794 0.901012i \(-0.357175\pi\)
−0.405885 + 0.913924i \(0.633037\pi\)
\(402\) −1256.91 + 1190.61i −0.155943 + 0.147717i
\(403\) −9387.18 5648.08i −1.16032 0.698141i
\(404\) −10550.0 1147.38i −1.29921 0.141297i
\(405\) −163.286 + 35.9419i −0.0200339 + 0.00440980i
\(406\) −809.288 + 2914.79i −0.0989269 + 0.356302i
\(407\) 12380.4 7449.04i 1.50780 0.907212i
\(408\) 5928.58 2742.85i 0.719384 0.332822i
\(409\) −2203.61 + 5530.65i −0.266410 + 0.668638i −0.999939 0.0110194i \(-0.996492\pi\)
0.733529 + 0.679658i \(0.237872\pi\)
\(410\) −136.636 + 2520.10i −0.0164584 + 0.303558i
\(411\) −352.283 519.579i −0.0422795 0.0623575i
\(412\) −22886.9 −2.73679
\(413\) 1131.05 + 281.951i 0.134759 + 0.0335930i
\(414\) −4935.87 −0.585954
\(415\) −917.934 1353.85i −0.108577 0.160140i
\(416\) 543.464 10023.6i 0.0640518 1.18137i
\(417\) −1095.67 + 2749.93i −0.128670 + 0.322937i
\(418\) 30204.7 13974.2i 3.53436 1.63517i
\(419\) 7994.70 4810.25i 0.932140 0.560850i 0.0334529 0.999440i \(-0.489350\pi\)
0.898687 + 0.438590i \(0.144522\pi\)
\(420\) −55.9540 + 201.528i −0.00650065 + 0.0234132i
\(421\) 1595.00 351.086i 0.184645 0.0406435i −0.121685 0.992569i \(-0.538830\pi\)
0.306330 + 0.951925i \(0.400899\pi\)
\(422\) −9531.65 1036.63i −1.09951 0.119579i
\(423\) 2508.44 + 1509.28i 0.288332 + 0.173484i
\(424\) 4103.56 3887.09i 0.470015 0.445222i
\(425\) −10115.5 4679.95i −1.15453 0.534143i
\(426\) 3857.67 419.547i 0.438744 0.0477162i
\(427\) 1227.62 413.634i 0.139131 0.0468786i
\(428\) −5587.21 14022.8i −0.631000 1.58369i
\(429\) 8504.72 + 8056.10i 0.957138 + 0.906649i
\(430\) 1343.72 + 4839.65i 0.150698 + 0.542765i
\(431\) 3905.14 + 7365.88i 0.436437 + 0.823207i 0.999996 0.00286884i \(-0.000913182\pi\)
−0.563559 + 0.826076i \(0.690568\pi\)
\(432\) 72.6614 55.2358i 0.00809242 0.00615170i
\(433\) 253.652 + 4678.34i 0.0281518 + 0.519230i 0.978269 + 0.207338i \(0.0664800\pi\)
−0.950118 + 0.311892i \(0.899037\pi\)
\(434\) 2117.53 + 713.479i 0.234204 + 0.0789126i
\(435\) 1547.25 + 340.575i 0.170540 + 0.0375387i
\(436\) 2128.27 4014.35i 0.233775 0.440946i
\(437\) 2074.52 + 12654.0i 0.227088 + 1.38518i
\(438\) 3091.65 3639.77i 0.337271 0.397066i
\(439\) −5533.53 6514.57i −0.601596 0.708254i 0.374098 0.927389i \(-0.377952\pi\)
−0.975695 + 0.219135i \(0.929676\pi\)
\(440\) 530.588 3236.45i 0.0574882 0.350662i
\(441\) −2410.14 1832.14i −0.260246 0.197834i
\(442\) 13804.9 20360.7i 1.48559 2.19108i
\(443\) 4283.36 6317.49i 0.459388 0.677546i −0.525489 0.850800i \(-0.676118\pi\)
0.984877 + 0.173254i \(0.0554281\pi\)
\(444\) −6726.95 5113.69i −0.719025 0.546588i
\(445\) 78.7930 480.616i 0.00839359 0.0511986i
\(446\) 7033.98 + 8281.04i 0.746791 + 0.879190i
\(447\) −1657.25 + 1951.06i −0.175358 + 0.206447i
\(448\) 342.496 + 2089.13i 0.0361192 + 0.220317i
\(449\) 18.9365 35.7181i 0.00199035 0.00375421i −0.882515 0.470284i \(-0.844151\pi\)
0.884505 + 0.466530i \(0.154496\pi\)
\(450\) −4878.43 1073.82i −0.511048 0.112490i
\(451\) −16978.7 5720.79i −1.77272 0.597298i
\(452\) −69.0127 1272.86i −0.00718160 0.132457i
\(453\) −8.64938 + 6.57508i −0.000897093 + 0.000681952i
\(454\) 12164.9 + 22945.4i 1.25755 + 2.37198i
\(455\) 82.3392 + 296.559i 0.00848378 + 0.0305558i
\(456\) −5521.71 5230.44i −0.567056 0.537144i
\(457\) 5110.70 + 12826.9i 0.523125 + 1.31295i 0.918861 + 0.394581i \(0.129110\pi\)
−0.395736 + 0.918364i \(0.629510\pi\)
\(458\) 28563.4 9624.12i 2.91415 0.981890i
\(459\) −2477.81 + 269.478i −0.251970 + 0.0274034i
\(460\) 2934.85 + 1357.81i 0.297474 + 0.137626i
\(461\) 8479.83 8032.53i 0.856714 0.811523i −0.126880 0.991918i \(-0.540496\pi\)
0.983594 + 0.180395i \(0.0577377\pi\)
\(462\) −2047.33 1231.84i −0.206170 0.124048i
\(463\) −1528.34 166.217i −0.153408 0.0166842i 0.0310926 0.999517i \(-0.490101\pi\)
−0.184501 + 0.982832i \(0.559067\pi\)
\(464\) −844.652 + 185.922i −0.0845085 + 0.0186017i
\(465\) 313.076 1127.60i 0.0312227 0.112454i
\(466\) −11114.6 + 6687.44i −1.10488 + 0.664785i
\(467\) −6613.14 + 3059.56i −0.655288 + 0.303169i −0.719217 0.694786i \(-0.755499\pi\)
0.0639285 + 0.997954i \(0.479637\pi\)
\(468\) 2535.82 6364.43i 0.250466 0.628623i
\(469\) 17.4820 322.436i 0.00172120 0.0317457i
\(470\) −1732.05 2554.59i −0.169986 0.250711i
\(471\) −2796.52 −0.273581
\(472\) 2574.04 + 10375.2i 0.251017 + 1.01178i
\(473\) −35656.6 −3.46616
\(474\) −4161.60 6137.90i −0.403267 0.594774i
\(475\) −702.566 + 12958.1i −0.0678651 + 1.25170i
\(476\) −1154.05 + 2896.44i −0.111125 + 0.278904i
\(477\) −1957.32 + 905.553i −0.187882 + 0.0869233i
\(478\) −26195.1 + 15761.1i −2.50656 + 1.50815i
\(479\) −622.259 + 2241.18i −0.0593565 + 0.213783i −0.987281 0.158986i \(-0.949178\pi\)
0.927924 + 0.372768i \(0.121591\pi\)
\(480\) 1047.23 230.512i 0.0995817 0.0219196i
\(481\) −12361.7 1344.41i −1.17182 0.127443i
\(482\) −22198.1 13356.1i −2.09771 1.26215i
\(483\) 668.357 633.101i 0.0629633 0.0596420i
\(484\) 38212.0 + 17678.7i 3.58865 + 1.66029i
\(485\) 253.816 27.6042i 0.0237633 0.00258441i
\(486\) −1058.57 + 356.673i −0.0988017 + 0.0332902i
\(487\) −6609.69 16589.1i −0.615018 1.54358i −0.824557 0.565778i \(-0.808576\pi\)
0.209539 0.977800i \(-0.432804\pi\)
\(488\) 8624.70 + 8169.75i 0.800044 + 0.757842i
\(489\) 2909.68 + 10479.7i 0.269080 + 0.969139i
\(490\) 1495.07 + 2819.99i 0.137837 + 0.259988i
\(491\) −6598.86 + 5016.32i −0.606522 + 0.461066i −0.862806 0.505536i \(-0.831295\pi\)
0.256284 + 0.966602i \(0.417502\pi\)
\(492\) 567.274 + 10462.7i 0.0519811 + 0.958734i
\(493\) 22381.1 + 7541.08i 2.04462 + 0.688911i
\(494\) −27971.9 6157.08i −2.54760 0.560770i
\(495\) −586.145 + 1105.59i −0.0532227 + 0.100389i
\(496\) 103.354 + 630.433i 0.00935634 + 0.0570712i
\(497\) −468.547 + 551.616i −0.0422881 + 0.0497854i
\(498\) −7074.80 8329.10i −0.636605 0.749470i
\(499\) −1952.51 + 11909.8i −0.175163 + 1.06845i 0.742135 + 0.670250i \(0.233813\pi\)
−0.917299 + 0.398200i \(0.869635\pi\)
\(500\) 5302.53 + 4030.88i 0.474273 + 0.360533i
\(501\) 2569.90 3790.32i 0.229171 0.338002i
\(502\) 15743.6 23220.1i 1.39975 2.06447i
\(503\) −17066.1 12973.3i −1.51280 1.15000i −0.945104 0.326769i \(-0.894040\pi\)
−0.567700 0.823235i \(-0.692167\pi\)
\(504\) −88.3400 + 538.850i −0.00780749 + 0.0476236i
\(505\) −1079.94 1271.40i −0.0951613 0.112033i
\(506\) −23915.8 + 28155.9i −2.10116 + 2.47368i
\(507\) −564.720 3444.64i −0.0494676 0.301739i
\(508\) 3785.04 7139.35i 0.330579 0.623538i
\(509\) 3182.85 + 700.597i 0.277165 + 0.0610087i 0.351378 0.936234i \(-0.385713\pi\)
−0.0742124 + 0.997242i \(0.523644\pi\)
\(510\) 2490.17 + 839.035i 0.216209 + 0.0728492i
\(511\) 48.2222 + 889.406i 0.00417461 + 0.0769961i
\(512\) −973.844 + 740.297i −0.0840590 + 0.0639000i
\(513\) 1359.31 + 2563.92i 0.116988 + 0.220663i
\(514\) −4054.81 14604.1i −0.347957 1.25323i
\(515\) −2611.87 2474.09i −0.223481 0.211692i
\(516\) 7718.49 + 19371.9i 0.658503 + 1.65272i
\(517\) 20763.6 6996.08i 1.76631 0.595140i
\(518\) 2521.33 274.212i 0.213863 0.0232590i
\(519\) −3982.08 1842.31i −0.336790 0.155816i
\(520\) −2049.11 + 1941.02i −0.172807 + 0.163691i
\(521\) 11445.9 + 6886.76i 0.962483 + 0.579107i 0.907803 0.419397i \(-0.137759\pi\)
0.0546801 + 0.998504i \(0.482586\pi\)
\(522\) 10522.7 + 1144.41i 0.882311 + 0.0959571i
\(523\) −3417.48 + 752.244i −0.285728 + 0.0628936i −0.355522 0.934668i \(-0.615697\pi\)
0.0697937 + 0.997561i \(0.477766\pi\)
\(524\) −9121.08 + 32851.2i −0.760413 + 2.73876i
\(525\) 798.314 480.330i 0.0663643 0.0399301i
\(526\) −18647.1 + 8627.05i −1.54572 + 0.715128i
\(527\) 6457.18 16206.3i 0.533737 1.33958i
\(528\) 36.9835 682.120i 0.00304829 0.0562225i
\(529\) −1159.78 1710.55i −0.0953217 0.140589i
\(530\) 2273.72 0.186347
\(531\) 333.294 4065.05i 0.0272386 0.332219i
\(532\) 3630.20 0.295845
\(533\) 8653.00 + 12762.2i 0.703195 + 1.03714i
\(534\) 176.163 3249.13i 0.0142758 0.263303i
\(535\) 878.264 2204.28i 0.0709732 0.178129i
\(536\) 2687.56 1243.40i 0.216577 0.100199i
\(537\) −8128.35 + 4890.66i −0.653192 + 0.393012i
\(538\) −3627.40 + 13064.7i −0.290685 + 1.04695i
\(539\) −22129.0 + 4870.96i −1.76839 + 0.389253i
\(540\) 727.537 + 79.1244i 0.0579782 + 0.00630551i
\(541\) −11984.0 7210.55i −0.952372 0.573023i −0.0475756 0.998868i \(-0.515150\pi\)
−0.904796 + 0.425844i \(0.859977\pi\)
\(542\) −941.476 + 891.814i −0.0746123 + 0.0706765i
\(543\) 1706.72 + 789.615i 0.134885 + 0.0624044i
\(544\) 15891.4 1728.29i 1.25246 0.136213i
\(545\) 676.834 228.052i 0.0531970 0.0179242i
\(546\) 761.111 + 1910.24i 0.0596566 + 0.149727i
\(547\) 420.846 + 398.647i 0.0328960 + 0.0311607i 0.703971 0.710229i \(-0.251409\pi\)
−0.671075 + 0.741390i \(0.734167\pi\)
\(548\) 735.090 + 2647.55i 0.0573020 + 0.206383i
\(549\) −2123.18 4004.75i −0.165055 0.311327i
\(550\) −29763.0 + 22625.2i −2.30745 + 1.75408i
\(551\) −1488.72 27457.9i −0.115103 2.12295i
\(552\) 8000.52 + 2695.69i 0.616893 + 0.207855i
\(553\) 1350.79 + 297.332i 0.103873 + 0.0228641i
\(554\) −16108.6 + 30384.1i −1.23536 + 2.33014i
\(555\) −214.889 1310.77i −0.0164352 0.100250i
\(556\) 8388.16 9875.31i 0.639815 0.753249i
\(557\) 2863.84 + 3371.57i 0.217854 + 0.256478i 0.860223 0.509918i \(-0.170324\pi\)
−0.642369 + 0.766396i \(0.722048\pi\)
\(558\) 1264.90 7715.58i 0.0959636 0.585352i
\(559\) 24429.1 + 18570.6i 1.84838 + 1.40510i
\(560\) 10.0720 14.8551i 0.000760036 0.00112097i
\(561\) −10468.6 + 15440.0i −0.787848 + 1.16199i
\(562\) −3315.81 2520.62i −0.248878 0.189192i
\(563\) −1481.12 + 9034.44i −0.110874 + 0.676299i 0.871646 + 0.490137i \(0.163053\pi\)
−0.982519 + 0.186162i \(0.940395\pi\)
\(564\) −8295.55 9766.28i −0.619336 0.729139i
\(565\) 129.722 152.720i 0.00965918 0.0113717i
\(566\) −1868.79 11399.1i −0.138783 0.846540i
\(567\) 97.5899 184.074i 0.00722820 0.0136338i
\(568\) −6482.01 1426.80i −0.478836 0.105400i
\(569\) −7218.07 2432.05i −0.531805 0.179186i 0.0405719 0.999177i \(-0.487082\pi\)
−0.572377 + 0.819991i \(0.693979\pi\)
\(570\) −165.638 3055.01i −0.0121716 0.224492i
\(571\) −12915.9 + 9818.41i −0.946608 + 0.719593i −0.959907 0.280319i \(-0.909560\pi\)
0.0132986 + 0.999912i \(0.495767\pi\)
\(572\) −24018.0 45302.8i −1.75567 3.31155i
\(573\) 2624.64 + 9453.09i 0.191354 + 0.689195i
\(574\) −2283.21 2162.78i −0.166027 0.157269i
\(575\) −5331.76 13381.7i −0.386696 0.970533i
\(576\) 7019.75 2365.23i 0.507794 0.171096i
\(577\) 9661.48 1050.75i 0.697075 0.0758115i 0.247281 0.968944i \(-0.420463\pi\)
0.449794 + 0.893132i \(0.351497\pi\)
\(578\) 15054.6 + 6965.00i 1.08337 + 0.501221i
\(579\) 10626.3 10065.8i 0.762718 0.722485i
\(580\) −5941.94 3575.15i −0.425389 0.255948i
\(581\) 2026.32 + 220.376i 0.144692 + 0.0157362i
\(582\) 1665.89 366.689i 0.118648 0.0261164i
\(583\) −4318.24 + 15552.9i −0.306764 + 1.10486i
\(584\) −6999.07 + 4211.20i −0.495931 + 0.298392i
\(585\) 977.388 452.188i 0.0690770 0.0319584i
\(586\) 3959.82 9938.40i 0.279144 0.700600i
\(587\) −0.137147 + 2.52952i −9.64337e−6 + 0.000177861i −0.998538 0.0540500i \(-0.982787\pi\)
0.998529 + 0.0542278i \(0.0172697\pi\)
\(588\) 7436.55 + 10968.1i 0.521562 + 0.769246i
\(589\) −20311.9 −1.42095
\(590\) −2118.44 + 3742.07i −0.147821 + 0.261116i
\(591\) 418.440 0.0291240
\(592\) 406.921 + 600.163i 0.0282506 + 0.0416665i
\(593\) −356.824 + 6581.22i −0.0247099 + 0.455748i 0.959829 + 0.280584i \(0.0905282\pi\)
−0.984539 + 0.175164i \(0.943955\pi\)
\(594\) −3094.50 + 7766.62i −0.213753 + 0.536479i
\(595\) −444.808 + 205.790i −0.0306476 + 0.0141791i
\(596\) 9601.04 5776.75i 0.659855 0.397022i
\(597\) −510.770 + 1839.63i −0.0350158 + 0.126115i
\(598\) 31049.3 6834.46i 2.12324 0.467361i
\(599\) 16600.6 + 1805.43i 1.13236 + 0.123152i 0.655052 0.755584i \(-0.272647\pi\)
0.477309 + 0.878736i \(0.341612\pi\)
\(600\) 7320.96 + 4404.88i 0.498128 + 0.299714i
\(601\) 15210.8 14408.5i 1.03238 0.977926i 0.0326157 0.999468i \(-0.489616\pi\)
0.999768 + 0.0215422i \(0.00685763\pi\)
\(602\) −5680.42 2628.04i −0.384579 0.177925i
\(603\) −1123.25 + 122.161i −0.0758577 + 0.00825002i
\(604\) 45.0668 15.1848i 0.00303600 0.00102295i
\(605\) 2449.69 + 6148.25i 0.164618 + 0.413160i
\(606\) −8091.24 7664.43i −0.542383 0.513773i
\(607\) 1021.17 + 3677.92i 0.0682833 + 0.245934i 0.989813 0.142374i \(-0.0454735\pi\)
−0.921530 + 0.388308i \(0.873060\pi\)
\(608\) −8717.87 16443.6i −0.581507 1.09684i
\(609\) −1571.65 + 1194.74i −0.104575 + 0.0794962i
\(610\) 258.720 + 4771.81i 0.0171726 + 0.316729i
\(611\) −17869.3 6020.86i −1.18316 0.398655i
\(612\) 10654.5 + 2345.23i 0.703730 + 0.154903i
\(613\) −2580.15 + 4866.68i −0.170002 + 0.320658i −0.953844 0.300303i \(-0.902912\pi\)
0.783842 + 0.620960i \(0.213257\pi\)
\(614\) 3570.71 + 21780.4i 0.234694 + 1.43157i
\(615\) −1066.29 + 1255.34i −0.0699140 + 0.0823091i
\(616\) 2645.75 + 3114.82i 0.173052 + 0.203733i
\(617\) −1366.87 + 8337.53i −0.0891865 + 0.544013i 0.904005 + 0.427521i \(0.140613\pi\)
−0.993192 + 0.116492i \(0.962835\pi\)
\(618\) −19135.0 14546.0i −1.24551 0.946809i
\(619\) −8850.74 + 13053.9i −0.574703 + 0.847624i −0.998303 0.0582256i \(-0.981456\pi\)
0.423600 + 0.905849i \(0.360766\pi\)
\(620\) −2874.58 + 4239.69i −0.186203 + 0.274629i
\(621\) −2564.40 1949.41i −0.165710 0.125969i
\(622\) −4506.37 + 27487.6i −0.290496 + 1.77195i
\(623\) 392.897 + 462.554i 0.0252666 + 0.0297461i
\(624\) −380.597 + 448.074i −0.0244168 + 0.0287457i
\(625\) −2272.30 13860.4i −0.145427 0.887065i
\(626\) 3753.01 7078.93i 0.239618 0.451967i
\(627\) 21211.7 + 4669.06i 1.35106 + 0.297391i
\(628\) 11599.9 + 3908.45i 0.737079 + 0.248351i
\(629\) −1071.99 19771.8i −0.0679542 1.25334i
\(630\) −174.865 + 132.929i −0.0110584 + 0.00840635i
\(631\) −2563.41 4835.10i −0.161724 0.305043i 0.789386 0.613898i \(-0.210399\pi\)
−0.951109 + 0.308854i \(0.900054\pi\)
\(632\) 3393.34 + 12221.7i 0.213576 + 0.769230i
\(633\) −4542.70 4303.07i −0.285239 0.270192i
\(634\) −5309.75 13326.5i −0.332614 0.834798i
\(635\) 1203.72 405.580i 0.0752254 0.0253464i
\(636\) 9384.52 1020.63i 0.585095 0.0636329i
\(637\) 17697.9 + 8187.94i 1.10081 + 0.509290i
\(638\) 57513.9 54480.1i 3.56896 3.38070i
\(639\) 2169.93 + 1305.60i 0.134336 + 0.0808276i
\(640\) −4921.14 535.206i −0.303946 0.0330561i
\(641\) 23367.2 5143.51i 1.43986 0.316937i 0.574670 0.818385i \(-0.305130\pi\)
0.865188 + 0.501448i \(0.167199\pi\)
\(642\) 4241.10 15275.0i 0.260721 0.939031i
\(643\) 5787.30 3482.11i 0.354944 0.213563i −0.326902 0.945058i \(-0.606005\pi\)
0.681846 + 0.731495i \(0.261177\pi\)
\(644\) −3657.16 + 1691.98i −0.223777 + 0.103530i
\(645\) −1213.28 + 3045.11i −0.0740666 + 0.185893i
\(646\) 2469.21 45541.9i 0.150387 2.77372i
\(647\) 8107.68 + 11957.9i 0.492652 + 0.726608i 0.990019 0.140933i \(-0.0450101\pi\)
−0.497367 + 0.867540i \(0.665700\pi\)
\(648\) 1910.62 0.115828
\(649\) −21573.5 21597.6i −1.30483 1.30629i
\(650\) 32174.8 1.94154
\(651\) 818.363 + 1207.00i 0.0492691 + 0.0726665i
\(652\) 2577.33 47536.1i 0.154810 2.85530i
\(653\) 1337.47 3356.80i 0.0801520 0.201166i −0.883439 0.468545i \(-0.844778\pi\)
0.963591 + 0.267379i \(0.0861576\pi\)
\(654\) 4330.74 2003.61i 0.258938 0.119797i
\(655\) −4592.14 + 2763.00i −0.273938 + 0.164823i
\(656\) 240.547 866.373i 0.0143168 0.0515643i
\(657\) 3043.76 669.983i 0.180743 0.0397846i
\(658\) 3823.47 + 415.828i 0.226527 + 0.0246362i
\(659\) 24612.5 + 14808.9i 1.45488 + 0.875373i 0.999886 0.0151200i \(-0.00481302\pi\)
0.454996 + 0.890493i \(0.349641\pi\)
\(660\) 3976.49 3766.74i 0.234522 0.222152i
\(661\) 8309.95 + 3844.59i 0.488986 + 0.226229i 0.648859 0.760909i \(-0.275246\pi\)
−0.159873 + 0.987138i \(0.551109\pi\)
\(662\) −23076.5 + 2509.72i −1.35483 + 0.147346i
\(663\) 15213.6 5126.06i 0.891173 0.300271i
\(664\) 6918.63 + 17364.4i 0.404360 + 1.01487i
\(665\) 414.281 + 392.428i 0.0241581 + 0.0228838i
\(666\) −2374.11 8550.77i −0.138131 0.497501i
\(667\) 14297.4 + 26967.8i 0.829984 + 1.56552i
\(668\) −15957.3 + 12130.4i −0.924261 + 0.702605i
\(669\) 383.889 + 7080.41i 0.0221853 + 0.409185i
\(670\) 1128.85 + 380.354i 0.0650914 + 0.0219319i
\(671\) −33131.9 7292.89i −1.90618 0.419581i
\(672\) −625.890 + 1180.55i −0.0359289 + 0.0677691i
\(673\) −856.156 5222.32i −0.0490377 0.299117i 0.950909 0.309472i \(-0.100152\pi\)
−0.999946 + 0.0103547i \(0.996704\pi\)
\(674\) −181.989 + 214.254i −0.0104005 + 0.0122444i
\(675\) −2110.46 2484.62i −0.120343 0.141679i
\(676\) −2471.83 + 15077.5i −0.140637 + 0.857846i
\(677\) 4293.62 + 3263.93i 0.243748 + 0.185292i 0.719915 0.694063i \(-0.244181\pi\)
−0.476167 + 0.879355i \(0.657974\pi\)
\(678\) 751.284 1108.06i 0.0425559 0.0627652i
\(679\) −178.541 + 263.328i −0.0100910 + 0.0148831i
\(680\) −3578.06 2719.97i −0.201783 0.153391i
\(681\) −2742.03 + 16725.6i −0.154295 + 0.941156i
\(682\) −37883.4 44599.8i −2.12702 2.50413i
\(683\) −4615.86 + 5434.20i −0.258596 + 0.304442i −0.876104 0.482122i \(-0.839866\pi\)
0.617509 + 0.786564i \(0.288142\pi\)
\(684\) −2054.99 12534.9i −0.114875 0.700705i
\(685\) −202.314 + 381.604i −0.0112847 + 0.0212852i
\(686\) −7845.12 1726.84i −0.436630 0.0961094i
\(687\) 18640.9 + 6280.86i 1.03522 + 0.348806i
\(688\) −96.8781 1786.81i −0.00536838 0.0990139i
\(689\) 11058.7 8406.63i 0.611472 0.464829i
\(690\) 1590.76 + 3000.49i 0.0877669 + 0.165546i
\(691\) 2082.16 + 7499.26i 0.114630 + 0.412858i 0.998493 0.0548875i \(-0.0174800\pi\)
−0.883863 + 0.467746i \(0.845066\pi\)
\(692\) 13942.7 + 13207.2i 0.765929 + 0.725526i
\(693\) −577.168 1448.58i −0.0316375 0.0794041i
\(694\) 25165.4 8479.22i 1.37646 0.463785i
\(695\) 2024.79 220.209i 0.110510 0.0120187i
\(696\) −16431.2 7601.88i −0.894860 0.414006i
\(697\) −17825.7 + 16885.4i −0.968716 + 0.917617i
\(698\) −36075.6 21706.0i −1.95628 1.17705i
\(699\) −8415.72 915.264i −0.455381 0.0495257i
\(700\) −3982.70 + 876.658i −0.215045 + 0.0473351i
\(701\) 1774.06 6389.59i 0.0955854 0.344268i −0.900257 0.435359i \(-0.856622\pi\)
0.995843 + 0.0910910i \(0.0290354\pi\)
\(702\) 6165.09 3709.41i 0.331462 0.199434i
\(703\) −20923.6 + 9680.30i −1.12255 + 0.519345i
\(704\) 20520.8 51503.3i 1.09859 2.75725i
\(705\) 109.049 2011.29i 0.00582556 0.107446i
\(706\) 2428.23 + 3581.37i 0.129444 + 0.190916i
\(707\) 2078.70 0.110577
\(708\) −7063.86 + 16395.9i −0.374966 + 0.870332i
\(709\) −9531.00 −0.504858 −0.252429 0.967615i \(-0.581229\pi\)
−0.252429 + 0.967615i \(0.581229\pi\)
\(710\) −1498.31 2209.84i −0.0791981 0.116808i
\(711\) 262.011 4832.52i 0.0138202 0.254899i
\(712\) −2060.03 + 5170.29i −0.108431 + 0.272141i
\(713\) 20462.7 9467.05i 1.07480 0.497257i
\(714\) −2805.73 + 1688.15i −0.147061 + 0.0884837i
\(715\) 2156.31 7766.34i 0.112785 0.406216i
\(716\) 40551.4 8926.04i 2.11659 0.465896i
\(717\) −19834.3 2157.11i −1.03309 0.112355i
\(718\) −40483.8 24358.3i −2.10424 1.26608i
\(719\) 6798.20 6439.60i 0.352615 0.334015i −0.490805 0.871269i \(-0.663297\pi\)
0.843420 + 0.537255i \(0.180539\pi\)
\(720\) −56.9953 26.3688i −0.00295012 0.00136487i
\(721\) 4456.79 484.705i 0.230207 0.0250366i
\(722\) −20443.9 + 6888.34i −1.05380 + 0.355066i
\(723\) −6257.91 15706.2i −0.321900 0.807909i
\(724\) −5975.86 5660.64i −0.306756 0.290575i
\(725\) 8264.07 + 29764.5i 0.423338 + 1.52472i
\(726\) 20711.8 + 39066.6i 1.05880 + 1.99711i
\(727\) 16848.1 12807.6i 0.859505 0.653379i −0.0796686 0.996821i \(-0.525386\pi\)
0.939174 + 0.343443i \(0.111593\pi\)
\(728\) −190.414 3511.98i −0.00969397 0.178795i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) −3208.99 706.352i −0.162699 0.0358127i
\(731\) −22888.7 + 43172.7i −1.15810 + 2.18441i
\(732\) 3209.81 + 19579.0i 0.162074 + 0.988606i
\(733\) 7319.99 8617.76i 0.368854 0.434249i −0.546154 0.837685i \(-0.683908\pi\)
0.915008 + 0.403436i \(0.132184\pi\)
\(734\) 39647.4 + 46676.5i 1.99375 + 2.34722i
\(735\) −336.996 + 2055.58i −0.0169119 + 0.103158i
\(736\) 16446.7 + 12502.5i 0.823687 + 0.626151i
\(737\) −4745.64 + 6999.29i −0.237188 + 0.349827i
\(738\) −6175.44 + 9108.09i −0.308023 + 0.454300i
\(739\) −4601.90 3498.27i −0.229071 0.174135i 0.484343 0.874878i \(-0.339059\pi\)
−0.713414 + 0.700743i \(0.752852\pi\)
\(740\) −940.590 + 5737.35i −0.0467254 + 0.285012i
\(741\) −12100.9 14246.3i −0.599916 0.706276i
\(742\) −1834.25 + 2159.45i −0.0907512 + 0.106841i
\(743\) 3616.28 + 22058.3i 0.178558 + 1.08916i 0.912238 + 0.409660i \(0.134353\pi\)
−0.733680 + 0.679495i \(0.762199\pi\)
\(744\) −6264.08 + 11815.3i −0.308673 + 0.582218i
\(745\) 1720.15 + 378.633i 0.0845923 + 0.0186202i
\(746\) 18475.8 + 6225.23i 0.906766 + 0.305525i
\(747\) −386.117 7121.50i −0.0189120 0.348811i
\(748\) 65002.4 49413.5i 3.17744 2.41542i
\(749\) 1384.98 + 2612.35i 0.0675649 + 0.127441i
\(750\) 1871.40 + 6740.16i 0.0911117 + 0.328155i
\(751\) 15910.5 + 15071.2i 0.773077 + 0.732298i 0.968660 0.248389i \(-0.0799012\pi\)
−0.195583 + 0.980687i \(0.562660\pi\)
\(752\) 406.999 + 1021.49i 0.0197363 + 0.0495345i
\(753\) 17350.2 5845.97i 0.839678 0.282920i
\(754\) −67778.1 + 7371.32i −3.27365 + 0.356031i
\(755\) 6.78453 + 3.13886i 0.000327039 + 0.000151304i
\(756\) −662.064 + 627.141i −0.0318506 + 0.0301705i
\(757\) 11337.0 + 6821.23i 0.544319 + 0.327506i 0.761016 0.648733i \(-0.224701\pi\)
−0.216697 + 0.976239i \(0.569528\pi\)
\(758\) −22831.0 2483.02i −1.09401 0.118981i
\(759\) −23545.4 + 5182.73i −1.12601 + 0.247854i
\(760\) −1399.99 + 5042.31i −0.0668198 + 0.240663i
\(761\) 26405.4 15887.6i 1.25781 0.756801i 0.278751 0.960363i \(-0.410080\pi\)
0.979062 + 0.203563i \(0.0652521\pi\)
\(762\) 7702.04 3563.34i 0.366162 0.169405i
\(763\) −329.423 + 826.790i −0.0156303 + 0.0392291i
\(764\) 2324.85 42879.4i 0.110092 2.03052i
\(765\) 962.376 + 1419.40i 0.0454834 + 0.0670829i
\(766\) −28001.4 −1.32080
\(767\) 3532.08 + 26032.8i 0.166279 + 1.22554i
\(768\) −13319.1 −0.625795
\(769\) −4335.00 6393.64i −0.203282 0.299819i 0.712359 0.701815i \(-0.247627\pi\)
−0.915641 + 0.401996i \(0.868316\pi\)
\(770\) −89.0032 + 1641.57i −0.00416552 + 0.0768285i
\(771\) 3661.19 9188.90i 0.171018 0.429222i