Properties

Label 75.4.g.b.31.4
Level $75$
Weight $4$
Character 75.31
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 31.4
Character \(\chi\) \(=\) 75.31
Dual form 75.4.g.b.46.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.177563 - 0.546483i) q^{2} +(-2.42705 + 1.76336i) q^{3} +(6.20502 - 4.50821i) q^{4} +(-9.45304 - 5.96993i) q^{5} +(1.39460 + 1.01324i) q^{6} -2.67744 q^{7} +(-7.28438 - 5.29241i) q^{8} +(2.78115 - 8.55951i) q^{9} +O(q^{10})\) \(q+(-0.177563 - 0.546483i) q^{2} +(-2.42705 + 1.76336i) q^{3} +(6.20502 - 4.50821i) q^{4} +(-9.45304 - 5.96993i) q^{5} +(1.39460 + 1.01324i) q^{6} -2.67744 q^{7} +(-7.28438 - 5.29241i) q^{8} +(2.78115 - 8.55951i) q^{9} +(-1.58395 + 6.22597i) q^{10} +(-19.4804 - 59.9545i) q^{11} +(-7.11032 + 21.8833i) q^{12} +(4.38017 - 13.4808i) q^{13} +(0.475414 + 1.46317i) q^{14} +(33.4701 - 2.17975i) q^{15} +(17.3621 - 53.4350i) q^{16} +(-24.5906 - 17.8661i) q^{17} -5.17146 q^{18} +(-22.2647 - 16.1762i) q^{19} +(-85.5700 + 5.57276i) q^{20} +(6.49827 - 4.72127i) q^{21} +(-29.3052 + 21.2914i) q^{22} +(35.9246 + 110.565i) q^{23} +27.0120 q^{24} +(53.7199 + 112.868i) q^{25} -8.14478 q^{26} +(8.34346 + 25.6785i) q^{27} +(-16.6135 + 12.0704i) q^{28} +(32.5312 - 23.6353i) q^{29} +(-7.13426 - 17.9038i) q^{30} +(180.304 + 130.998i) q^{31} -104.316 q^{32} +(153.001 + 111.162i) q^{33} +(-5.39715 + 16.6107i) q^{34} +(25.3099 + 15.9841i) q^{35} +(-21.3310 - 65.6500i) q^{36} +(25.6160 - 78.8378i) q^{37} +(-4.88665 + 15.0396i) q^{38} +(13.1405 + 40.4423i) q^{39} +(37.2642 + 93.5166i) q^{40} +(44.5269 - 137.040i) q^{41} +(-3.73395 - 2.71287i) q^{42} +433.956 q^{43} +(-391.164 - 284.197i) q^{44} +(-77.3900 + 64.3101i) q^{45} +(54.0428 - 39.2644i) q^{46} +(-371.550 + 269.947i) q^{47} +(52.0862 + 160.305i) q^{48} -335.831 q^{49} +(52.1418 - 49.3982i) q^{50} +91.1870 q^{51} +(-33.5952 - 103.395i) q^{52} +(200.214 - 145.464i) q^{53} +(12.5514 - 9.11912i) q^{54} +(-173.775 + 683.049i) q^{55} +(19.5034 + 14.1701i) q^{56} +82.5619 q^{57} +(-18.6927 - 13.5810i) q^{58} +(95.9388 - 295.269i) q^{59} +(197.856 - 164.416i) q^{60} +(0.644333 + 1.98305i) q^{61} +(39.5730 - 121.793i) q^{62} +(-7.44636 + 22.9175i) q^{63} +(-120.374 - 370.473i) q^{64} +(-121.885 + 101.285i) q^{65} +(33.5807 - 103.351i) q^{66} +(-529.476 - 384.687i) q^{67} -233.129 q^{68} +(-282.156 - 204.998i) q^{69} +(4.24094 - 16.6696i) q^{70} +(734.591 - 533.711i) q^{71} +(-65.5594 + 47.6317i) q^{72} +(-271.486 - 835.547i) q^{73} -47.6320 q^{74} +(-329.407 - 179.209i) q^{75} -211.079 q^{76} +(52.1575 + 160.524i) q^{77} +(19.7678 - 14.3621i) q^{78} +(921.477 - 669.493i) q^{79} +(-483.127 + 401.473i) q^{80} +(-65.5304 - 47.6106i) q^{81} -82.7962 q^{82} +(798.210 + 579.934i) q^{83} +(19.0374 - 58.5912i) q^{84} +(125.796 + 315.693i) q^{85} +(-77.0546 - 237.150i) q^{86} +(-37.2775 + 114.728i) q^{87} +(-175.401 + 539.830i) q^{88} +(305.549 + 940.383i) q^{89} +(48.8860 + 30.8732i) q^{90} +(-11.7276 + 36.0939i) q^{91} +(721.361 + 524.100i) q^{92} -668.602 q^{93} +(213.495 + 155.113i) q^{94} +(113.898 + 285.833i) q^{95} +(253.180 - 183.946i) q^{96} +(-1244.20 + 903.964i) q^{97} +(59.6313 + 183.526i) q^{98} -567.359 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.177563 0.546483i −0.0627781 0.193211i 0.914748 0.404024i \(-0.132389\pi\)
−0.977526 + 0.210813i \(0.932389\pi\)
\(3\) −2.42705 + 1.76336i −0.467086 + 0.339358i
\(4\) 6.20502 4.50821i 0.775628 0.563526i
\(5\) −9.45304 5.96993i −0.845506 0.533967i
\(6\) 1.39460 + 1.01324i 0.0948905 + 0.0689420i
\(7\) −2.67744 −0.144568 −0.0722840 0.997384i \(-0.523029\pi\)
−0.0722840 + 0.997384i \(0.523029\pi\)
\(8\) −7.28438 5.29241i −0.321927 0.233894i
\(9\) 2.78115 8.55951i 0.103006 0.317019i
\(10\) −1.58395 + 6.22597i −0.0500891 + 0.196882i
\(11\) −19.4804 59.9545i −0.533960 1.64336i −0.745885 0.666075i \(-0.767973\pi\)
0.211924 0.977286i \(-0.432027\pi\)
\(12\) −7.11032 + 21.8833i −0.171048 + 0.526431i
\(13\) 4.38017 13.4808i 0.0934493 0.287607i −0.893397 0.449268i \(-0.851685\pi\)
0.986846 + 0.161660i \(0.0516849\pi\)
\(14\) 0.475414 + 1.46317i 0.00907569 + 0.0279321i
\(15\) 33.4701 2.17975i 0.576130 0.0375206i
\(16\) 17.3621 53.4350i 0.271282 0.834922i
\(17\) −24.5906 17.8661i −0.350829 0.254892i 0.398388 0.917217i \(-0.369570\pi\)
−0.749217 + 0.662325i \(0.769570\pi\)
\(18\) −5.17146 −0.0677180
\(19\) −22.2647 16.1762i −0.268835 0.195320i 0.445198 0.895432i \(-0.353133\pi\)
−0.714033 + 0.700112i \(0.753133\pi\)
\(20\) −85.5700 + 5.57276i −0.956702 + 0.0623054i
\(21\) 6.49827 4.72127i 0.0675257 0.0490603i
\(22\) −29.3052 + 21.2914i −0.283995 + 0.206334i
\(23\) 35.9246 + 110.565i 0.325687 + 1.00236i 0.971130 + 0.238553i \(0.0766729\pi\)
−0.645443 + 0.763809i \(0.723327\pi\)
\(24\) 27.0120 0.229741
\(25\) 53.7199 + 112.868i 0.429759 + 0.902944i
\(26\) −8.14478 −0.0614355
\(27\) 8.34346 + 25.6785i 0.0594703 + 0.183031i
\(28\) −16.6135 + 12.0704i −0.112131 + 0.0814678i
\(29\) 32.5312 23.6353i 0.208307 0.151344i −0.478740 0.877956i \(-0.658907\pi\)
0.687047 + 0.726613i \(0.258907\pi\)
\(30\) −7.13426 17.9038i −0.0434177 0.108959i
\(31\) 180.304 + 130.998i 1.04463 + 0.758967i 0.971184 0.238333i \(-0.0766008\pi\)
0.0734444 + 0.997299i \(0.476601\pi\)
\(32\) −104.316 −0.576270
\(33\) 153.001 + 111.162i 0.807093 + 0.586388i
\(34\) −5.39715 + 16.6107i −0.0272236 + 0.0837857i
\(35\) 25.3099 + 15.9841i 0.122233 + 0.0771944i
\(36\) −21.3310 65.6500i −0.0987545 0.303935i
\(37\) 25.6160 78.8378i 0.113817 0.350293i −0.877881 0.478878i \(-0.841044\pi\)
0.991698 + 0.128585i \(0.0410435\pi\)
\(38\) −4.88665 + 15.0396i −0.0208610 + 0.0642037i
\(39\) 13.1405 + 40.4423i 0.0539530 + 0.166050i
\(40\) 37.2642 + 93.5166i 0.147300 + 0.369657i
\(41\) 44.5269 137.040i 0.169608 0.522000i −0.829738 0.558153i \(-0.811510\pi\)
0.999346 + 0.0361527i \(0.0115103\pi\)
\(42\) −3.73395 2.71287i −0.0137181 0.00996679i
\(43\) 433.956 1.53901 0.769507 0.638638i \(-0.220502\pi\)
0.769507 + 0.638638i \(0.220502\pi\)
\(44\) −391.164 284.197i −1.34023 0.973736i
\(45\) −77.3900 + 64.3101i −0.256369 + 0.213040i
\(46\) 54.0428 39.2644i 0.173221 0.125853i
\(47\) −371.550 + 269.947i −1.15311 + 0.837783i −0.988891 0.148641i \(-0.952510\pi\)
−0.164218 + 0.986424i \(0.552510\pi\)
\(48\) 52.0862 + 160.305i 0.156625 + 0.482042i
\(49\) −335.831 −0.979100
\(50\) 52.1418 49.3982i 0.147479 0.139719i
\(51\) 91.1870 0.250367
\(52\) −33.5952 103.395i −0.0895925 0.275737i
\(53\) 200.214 145.464i 0.518897 0.377001i −0.297291 0.954787i \(-0.596083\pi\)
0.816188 + 0.577786i \(0.196083\pi\)
\(54\) 12.5514 9.11912i 0.0316302 0.0229807i
\(55\) −173.775 + 683.049i −0.426034 + 1.67459i
\(56\) 19.5034 + 14.1701i 0.0465403 + 0.0338135i
\(57\) 82.5619 0.191853
\(58\) −18.6927 13.5810i −0.0423184 0.0307461i
\(59\) 95.9388 295.269i 0.211698 0.651539i −0.787674 0.616092i \(-0.788715\pi\)
0.999372 0.0354462i \(-0.0112852\pi\)
\(60\) 197.856 164.416i 0.425718 0.353766i
\(61\) 0.644333 + 1.98305i 0.00135243 + 0.00416236i 0.951730 0.306935i \(-0.0993034\pi\)
−0.950378 + 0.311097i \(0.899303\pi\)
\(62\) 39.5730 121.793i 0.0810610 0.249480i
\(63\) −7.44636 + 22.9175i −0.0148913 + 0.0458307i
\(64\) −120.374 370.473i −0.235105 0.723580i
\(65\) −121.885 + 101.285i −0.232585 + 0.193275i
\(66\) 33.5807 103.351i 0.0626288 0.192752i
\(67\) −529.476 384.687i −0.965460 0.701448i −0.0110477 0.999939i \(-0.503517\pi\)
−0.954412 + 0.298491i \(0.903517\pi\)
\(68\) −233.129 −0.415751
\(69\) −282.156 204.998i −0.492283 0.357665i
\(70\) 4.24094 16.6696i 0.00724127 0.0284629i
\(71\) 734.591 533.711i 1.22789 0.892111i 0.231156 0.972917i \(-0.425749\pi\)
0.996730 + 0.0808056i \(0.0257493\pi\)
\(72\) −65.5594 + 47.6317i −0.107309 + 0.0779646i
\(73\) −271.486 835.547i −0.435274 1.33964i −0.892805 0.450443i \(-0.851266\pi\)
0.457531 0.889194i \(-0.348734\pi\)
\(74\) −47.6320 −0.0748258
\(75\) −329.407 179.209i −0.507156 0.275910i
\(76\) −211.079 −0.318584
\(77\) 52.1575 + 160.524i 0.0771935 + 0.237577i
\(78\) 19.7678 14.3621i 0.0286957 0.0208486i
\(79\) 921.477 669.493i 1.31233 0.953466i 0.312339 0.949971i \(-0.398887\pi\)
0.999994 0.00349520i \(-0.00111256\pi\)
\(80\) −483.127 + 401.473i −0.675191 + 0.561075i
\(81\) −65.5304 47.6106i −0.0898908 0.0653095i
\(82\) −82.7962 −0.111504
\(83\) 798.210 + 579.934i 1.05560 + 0.766940i 0.973270 0.229665i \(-0.0737631\pi\)
0.0823324 + 0.996605i \(0.473763\pi\)
\(84\) 19.0374 58.5912i 0.0247280 0.0761050i
\(85\) 125.796 + 315.693i 0.160524 + 0.402844i
\(86\) −77.0546 237.150i −0.0966164 0.297355i
\(87\) −37.2775 + 114.728i −0.0459375 + 0.141381i
\(88\) −175.401 + 539.830i −0.212476 + 0.653932i
\(89\) 305.549 + 940.383i 0.363911 + 1.12000i 0.950660 + 0.310235i \(0.100408\pi\)
−0.586748 + 0.809769i \(0.699592\pi\)
\(90\) 48.8860 + 30.8732i 0.0572560 + 0.0361592i
\(91\) −11.7276 + 36.0939i −0.0135098 + 0.0415788i
\(92\) 721.361 + 524.100i 0.817469 + 0.593926i
\(93\) −668.602 −0.745493
\(94\) 213.495 + 155.113i 0.234259 + 0.170199i
\(95\) 113.898 + 285.833i 0.123007 + 0.308693i
\(96\) 253.180 183.946i 0.269168 0.195562i
\(97\) −1244.20 + 903.964i −1.30236 + 0.946223i −0.999976 0.00696215i \(-0.997784\pi\)
−0.302388 + 0.953185i \(0.597784\pi\)
\(98\) 59.6313 + 183.526i 0.0614660 + 0.189173i
\(99\) −567.359 −0.575977
\(100\) 842.166 + 458.167i 0.842166 + 0.458167i
\(101\) −266.284 −0.262339 −0.131170 0.991360i \(-0.541873\pi\)
−0.131170 + 0.991360i \(0.541873\pi\)
\(102\) −16.1914 49.8322i −0.0157176 0.0483737i
\(103\) 630.873 458.356i 0.603512 0.438477i −0.243612 0.969873i \(-0.578332\pi\)
0.847124 + 0.531396i \(0.178332\pi\)
\(104\) −103.253 + 75.0174i −0.0973534 + 0.0707314i
\(105\) −89.6141 + 5.83613i −0.0832899 + 0.00542427i
\(106\) −115.044 83.5847i −0.105416 0.0765893i
\(107\) 526.990 0.476132 0.238066 0.971249i \(-0.423487\pi\)
0.238066 + 0.971249i \(0.423487\pi\)
\(108\) 167.536 + 121.722i 0.149270 + 0.108451i
\(109\) −18.0367 + 55.5114i −0.0158496 + 0.0487800i −0.958669 0.284525i \(-0.908164\pi\)
0.942819 + 0.333305i \(0.108164\pi\)
\(110\) 404.131 26.3191i 0.350294 0.0228130i
\(111\) 76.8479 + 236.513i 0.0657124 + 0.202242i
\(112\) −46.4858 + 143.069i −0.0392187 + 0.120703i
\(113\) −14.5997 + 44.9333i −0.0121542 + 0.0374068i −0.956950 0.290254i \(-0.906260\pi\)
0.944795 + 0.327661i \(0.106260\pi\)
\(114\) −14.6600 45.1187i −0.0120441 0.0370680i
\(115\) 320.466 1259.64i 0.259857 1.02141i
\(116\) 95.3039 293.315i 0.0762823 0.234773i
\(117\) −103.207 74.9842i −0.0815512 0.0592504i
\(118\) −178.395 −0.139174
\(119\) 65.8397 + 47.8354i 0.0507186 + 0.0368493i
\(120\) −255.345 161.259i −0.194248 0.122674i
\(121\) −2138.26 + 1553.54i −1.60651 + 1.16719i
\(122\) 0.969296 0.704235i 0.000719311 0.000522610i
\(123\) 133.581 + 411.119i 0.0979233 + 0.301377i
\(124\) 1709.35 1.23794
\(125\) 165.997 1387.65i 0.118778 0.992921i
\(126\) 13.8462 0.00978985
\(127\) −485.405 1493.92i −0.339155 1.04381i −0.964639 0.263575i \(-0.915098\pi\)
0.625484 0.780237i \(-0.284902\pi\)
\(128\) −856.231 + 622.088i −0.591257 + 0.429573i
\(129\) −1053.23 + 765.218i −0.718853 + 0.522277i
\(130\) 76.9929 + 48.6238i 0.0519440 + 0.0328045i
\(131\) 2344.50 + 1703.38i 1.56366 + 1.13607i 0.932923 + 0.360076i \(0.117249\pi\)
0.630741 + 0.775993i \(0.282751\pi\)
\(132\) 1450.52 0.956449
\(133\) 59.6122 + 43.3108i 0.0388649 + 0.0282370i
\(134\) −116.210 + 357.656i −0.0749177 + 0.230573i
\(135\) 74.4279 292.550i 0.0474499 0.186509i
\(136\) 84.5724 + 260.287i 0.0533237 + 0.164113i
\(137\) 402.958 1240.18i 0.251292 0.773398i −0.743245 0.669019i \(-0.766714\pi\)
0.994538 0.104379i \(-0.0332855\pi\)
\(138\) −61.9276 + 190.593i −0.0382002 + 0.117568i
\(139\) 381.913 + 1175.41i 0.233047 + 0.717243i 0.997375 + 0.0724158i \(0.0230709\pi\)
−0.764328 + 0.644828i \(0.776929\pi\)
\(140\) 229.108 14.9207i 0.138308 0.00900736i
\(141\) 425.759 1310.35i 0.254293 0.782634i
\(142\) −422.101 306.674i −0.249450 0.181236i
\(143\) −893.562 −0.522541
\(144\) −409.091 297.222i −0.236742 0.172003i
\(145\) −448.620 + 29.2165i −0.256937 + 0.0167331i
\(146\) −408.407 + 296.725i −0.231507 + 0.168200i
\(147\) 815.080 592.190i 0.457324 0.332265i
\(148\) −196.470 604.672i −0.109120 0.335836i
\(149\) −810.211 −0.445470 −0.222735 0.974879i \(-0.571499\pi\)
−0.222735 + 0.974879i \(0.571499\pi\)
\(150\) −39.4441 + 211.836i −0.0214707 + 0.115309i
\(151\) −3447.19 −1.85781 −0.928903 0.370324i \(-0.879247\pi\)
−0.928903 + 0.370324i \(0.879247\pi\)
\(152\) 76.5730 + 235.667i 0.0408611 + 0.125758i
\(153\) −221.315 + 160.795i −0.116943 + 0.0849641i
\(154\) 78.4626 57.0064i 0.0410565 0.0298293i
\(155\) −922.366 2314.73i −0.477976 1.19951i
\(156\) 263.860 + 191.705i 0.135421 + 0.0983892i
\(157\) −804.338 −0.408873 −0.204437 0.978880i \(-0.565536\pi\)
−0.204437 + 0.978880i \(0.565536\pi\)
\(158\) −529.487 384.695i −0.266606 0.193700i
\(159\) −229.425 + 706.098i −0.114431 + 0.352184i
\(160\) 986.104 + 622.760i 0.487240 + 0.307709i
\(161\) −96.1858 296.029i −0.0470839 0.144909i
\(162\) −14.3826 + 44.2651i −0.00697534 + 0.0214679i
\(163\) 976.108 3004.15i 0.469047 1.44358i −0.384774 0.923011i \(-0.625720\pi\)
0.853821 0.520567i \(-0.174280\pi\)
\(164\) −341.514 1051.07i −0.162608 0.500456i
\(165\) −782.697 1964.22i −0.369290 0.926755i
\(166\) 175.191 539.184i 0.0819126 0.252101i
\(167\) 2278.34 + 1655.31i 1.05571 + 0.767018i 0.973290 0.229580i \(-0.0737351\pi\)
0.0824199 + 0.996598i \(0.473735\pi\)
\(168\) −72.3228 −0.0332132
\(169\) 1614.86 + 1173.27i 0.735032 + 0.534032i
\(170\) 150.184 124.801i 0.0677565 0.0563048i
\(171\) −200.382 + 145.586i −0.0896117 + 0.0651067i
\(172\) 2692.70 1956.36i 1.19370 0.867276i
\(173\) −1133.19 3487.61i −0.498006 1.53270i −0.812219 0.583352i \(-0.801741\pi\)
0.314213 0.949352i \(-0.398259\pi\)
\(174\) 69.3162 0.0302003
\(175\) −143.832 302.197i −0.0621294 0.130537i
\(176\) −3541.89 −1.51693
\(177\) 287.816 + 885.808i 0.122224 + 0.376166i
\(178\) 459.649 333.955i 0.193552 0.140623i
\(179\) −1965.97 + 1428.36i −0.820912 + 0.596427i −0.916974 0.398948i \(-0.869375\pi\)
0.0960617 + 0.995375i \(0.469375\pi\)
\(180\) −190.283 + 747.936i −0.0787937 + 0.309710i
\(181\) 2655.62 + 1929.42i 1.09056 + 0.792336i 0.979493 0.201477i \(-0.0645743\pi\)
0.111064 + 0.993813i \(0.464574\pi\)
\(182\) 21.8071 0.00888160
\(183\) −5.06066 3.67678i −0.00204423 0.00148522i
\(184\) 323.465 995.522i 0.129599 0.398863i
\(185\) −712.805 + 592.331i −0.283278 + 0.235400i
\(186\) 118.719 + 365.380i 0.0468006 + 0.144037i
\(187\) −592.120 + 1822.36i −0.231551 + 0.712642i
\(188\) −1088.50 + 3350.05i −0.422271 + 1.29962i
\(189\) −22.3391 68.7526i −0.00859750 0.0264604i
\(190\) 135.979 112.997i 0.0519208 0.0431455i
\(191\) 659.004 2028.21i 0.249654 0.768355i −0.745183 0.666861i \(-0.767638\pi\)
0.994836 0.101494i \(-0.0323623\pi\)
\(192\) 945.429 + 686.895i 0.355367 + 0.258189i
\(193\) −3868.32 −1.44274 −0.721368 0.692552i \(-0.756486\pi\)
−0.721368 + 0.692552i \(0.756486\pi\)
\(194\) 714.925 + 519.423i 0.264581 + 0.192229i
\(195\) 117.220 460.751i 0.0430477 0.169205i
\(196\) −2083.84 + 1514.00i −0.759417 + 0.551749i
\(197\) 1428.32 1037.74i 0.516568 0.375308i −0.298742 0.954334i \(-0.596567\pi\)
0.815309 + 0.579026i \(0.196567\pi\)
\(198\) 100.742 + 310.052i 0.0361588 + 0.111285i
\(199\) 3952.78 1.40807 0.704033 0.710167i \(-0.251381\pi\)
0.704033 + 0.710167i \(0.251381\pi\)
\(200\) 206.027 1106.48i 0.0728417 0.391200i
\(201\) 1963.41 0.688995
\(202\) 47.2823 + 145.520i 0.0164692 + 0.0506869i
\(203\) −87.1002 + 63.2820i −0.0301145 + 0.0218794i
\(204\) 565.817 411.090i 0.194192 0.141089i
\(205\) −1239.03 + 1029.62i −0.422135 + 0.350789i
\(206\) −362.504 263.374i −0.122606 0.0890784i
\(207\) 1046.29 0.351315
\(208\) −644.296 468.109i −0.214778 0.156046i
\(209\) −536.113 + 1649.99i −0.177434 + 0.546086i
\(210\) 19.1015 + 47.9363i 0.00627681 + 0.0157520i
\(211\) 1472.71 + 4532.54i 0.480501 + 1.47883i 0.838392 + 0.545067i \(0.183496\pi\)
−0.357891 + 0.933763i \(0.616504\pi\)
\(212\) 586.551 1805.22i 0.190021 0.584825i
\(213\) −841.766 + 2590.69i −0.270783 + 0.833386i
\(214\) −93.5741 287.991i −0.0298906 0.0919939i
\(215\) −4102.20 2590.69i −1.30125 0.821783i
\(216\) 75.1244 231.209i 0.0236647 0.0728323i
\(217\) −482.751 350.739i −0.151020 0.109722i
\(218\) 33.5387 0.0104199
\(219\) 2132.28 + 1549.19i 0.657927 + 0.478012i
\(220\) 2001.05 + 5021.75i 0.613231 + 1.53894i
\(221\) −348.560 + 253.244i −0.106094 + 0.0770816i
\(222\) 115.605 83.9921i 0.0349501 0.0253927i
\(223\) −679.879 2092.45i −0.204162 0.628345i −0.999747 0.0225031i \(-0.992836\pi\)
0.795585 0.605842i \(-0.207164\pi\)
\(224\) 279.300 0.0833102
\(225\) 1115.50 145.913i 0.330518 0.0432334i
\(226\) 27.1477 0.00799042
\(227\) 301.326 + 927.386i 0.0881045 + 0.271158i 0.985395 0.170282i \(-0.0544679\pi\)
−0.897291 + 0.441440i \(0.854468\pi\)
\(228\) 512.298 372.207i 0.148806 0.108114i
\(229\) −1289.94 + 937.197i −0.372235 + 0.270444i −0.758137 0.652095i \(-0.773890\pi\)
0.385902 + 0.922540i \(0.373890\pi\)
\(230\) −745.274 + 48.5362i −0.213661 + 0.0139147i
\(231\) −409.651 297.629i −0.116680 0.0847728i
\(232\) −362.057 −0.102458
\(233\) 3787.94 + 2752.10i 1.06505 + 0.773802i 0.975016 0.222137i \(-0.0713031\pi\)
0.0900318 + 0.995939i \(0.471303\pi\)
\(234\) −22.6519 + 69.7153i −0.00632820 + 0.0194762i
\(235\) 5123.84 333.691i 1.42231 0.0926282i
\(236\) −735.834 2264.66i −0.202961 0.624649i
\(237\) −1055.92 + 3249.79i −0.289406 + 0.890701i
\(238\) 14.4505 44.4741i 0.00393566 0.0121127i
\(239\) 22.3460 + 68.7738i 0.00604787 + 0.0186134i 0.954035 0.299695i \(-0.0968851\pi\)
−0.947987 + 0.318309i \(0.896885\pi\)
\(240\) 464.636 1826.32i 0.124967 0.491202i
\(241\) 566.484 1743.46i 0.151413 0.466000i −0.846367 0.532600i \(-0.821215\pi\)
0.997780 + 0.0665998i \(0.0212151\pi\)
\(242\) 1228.66 + 892.672i 0.326368 + 0.237120i
\(243\) 243.000 0.0641500
\(244\) 12.9381 + 9.40010i 0.00339459 + 0.00246631i
\(245\) 3174.63 + 2004.89i 0.827835 + 0.522807i
\(246\) 200.951 145.999i 0.0520819 0.0378397i
\(247\) −315.591 + 229.290i −0.0812979 + 0.0590664i
\(248\) −620.103 1908.48i −0.158776 0.488664i
\(249\) −2959.93 −0.753324
\(250\) −787.802 + 155.681i −0.199300 + 0.0393844i
\(251\) −211.935 −0.0532956 −0.0266478 0.999645i \(-0.508483\pi\)
−0.0266478 + 0.999645i \(0.508483\pi\)
\(252\) 57.1123 + 175.773i 0.0142767 + 0.0439392i
\(253\) 5929.02 4307.69i 1.47334 1.07044i
\(254\) −730.214 + 530.531i −0.180385 + 0.131057i
\(255\) −861.994 544.380i −0.211687 0.133688i
\(256\) −2029.15 1474.26i −0.495398 0.359927i
\(257\) −7074.89 −1.71720 −0.858599 0.512648i \(-0.828665\pi\)
−0.858599 + 0.512648i \(0.828665\pi\)
\(258\) 605.194 + 439.700i 0.146038 + 0.106103i
\(259\) −68.5851 + 211.083i −0.0164543 + 0.0506412i
\(260\) −299.686 + 1177.96i −0.0714836 + 0.280977i
\(261\) −111.832 344.185i −0.0265220 0.0816264i
\(262\) 514.572 1583.69i 0.121337 0.373437i
\(263\) −1562.26 + 4808.14i −0.366286 + 1.12731i 0.582886 + 0.812554i \(0.301923\pi\)
−0.949172 + 0.314758i \(0.898077\pi\)
\(264\) −526.204 1619.49i −0.122673 0.377548i
\(265\) −2761.04 + 179.814i −0.640036 + 0.0416825i
\(266\) 13.0837 40.2675i 0.00301584 0.00928179i
\(267\) −2399.81 1743.57i −0.550060 0.399642i
\(268\) −5019.66 −1.14412
\(269\) −1867.63 1356.91i −0.423314 0.307556i 0.355656 0.934617i \(-0.384258\pi\)
−0.778970 + 0.627061i \(0.784258\pi\)
\(270\) −173.089 + 11.2725i −0.0390144 + 0.00254082i
\(271\) 475.680 345.602i 0.106625 0.0774679i −0.533195 0.845992i \(-0.679009\pi\)
0.639820 + 0.768525i \(0.279009\pi\)
\(272\) −1381.62 + 1003.81i −0.307989 + 0.223767i
\(273\) −35.1829 108.282i −0.00779987 0.0240055i
\(274\) −749.287 −0.165205
\(275\) 5720.46 5419.47i 1.25439 1.18839i
\(276\) −2674.96 −0.583382
\(277\) −936.066 2880.92i −0.203042 0.624900i −0.999788 0.0205857i \(-0.993447\pi\)
0.796746 0.604315i \(-0.206553\pi\)
\(278\) 574.527 417.419i 0.123949 0.0900543i
\(279\) 1622.73 1178.98i 0.348209 0.252989i
\(280\) −99.7724 250.385i −0.0212948 0.0534405i
\(281\) 4977.64 + 3616.47i 1.05673 + 0.767759i 0.973481 0.228770i \(-0.0734703\pi\)
0.0832489 + 0.996529i \(0.473470\pi\)
\(282\) −791.683 −0.167178
\(283\) 4502.63 + 3271.35i 0.945773 + 0.687144i 0.949803 0.312848i \(-0.101283\pi\)
−0.00403070 + 0.999992i \(0.501283\pi\)
\(284\) 2152.07 6623.38i 0.449654 1.38389i
\(285\) −780.461 492.889i −0.162212 0.102443i
\(286\) 158.664 + 488.316i 0.0328041 + 0.100961i
\(287\) −119.218 + 366.915i −0.0245199 + 0.0754645i
\(288\) −290.119 + 892.894i −0.0593591 + 0.182689i
\(289\) −1232.70 3793.86i −0.250906 0.772209i
\(290\) 95.6247 + 239.976i 0.0193630 + 0.0485926i
\(291\) 1425.73 4387.93i 0.287208 0.883935i
\(292\) −5451.40 3960.67i −1.09253 0.793770i
\(293\) 2865.97 0.571440 0.285720 0.958313i \(-0.407767\pi\)
0.285720 + 0.958313i \(0.407767\pi\)
\(294\) −468.350 340.276i −0.0929073 0.0675011i
\(295\) −2669.65 + 2218.44i −0.526892 + 0.437840i
\(296\) −603.838 + 438.714i −0.118572 + 0.0861478i
\(297\) 1377.01 1000.46i 0.269031 0.195463i
\(298\) 143.864 + 442.767i 0.0279658 + 0.0860698i
\(299\) 1647.85 0.318722
\(300\) −2851.89 + 373.042i −0.548847 + 0.0717920i
\(301\) −1161.89 −0.222492
\(302\) 612.095 + 1883.83i 0.116629 + 0.358948i
\(303\) 646.286 469.554i 0.122535 0.0890270i
\(304\) −1250.94 + 908.859i −0.236007 + 0.171469i
\(305\) 5.74779 22.5925i 0.00107907 0.00424145i
\(306\) 127.169 + 92.3939i 0.0237575 + 0.0172608i
\(307\) −1957.38 −0.363888 −0.181944 0.983309i \(-0.558239\pi\)
−0.181944 + 0.983309i \(0.558239\pi\)
\(308\) 1047.32 + 760.920i 0.193755 + 0.140771i
\(309\) −722.916 + 2224.91i −0.133091 + 0.409613i
\(310\) −1101.18 + 915.069i −0.201752 + 0.167653i
\(311\) 1081.33 + 3327.99i 0.197159 + 0.606794i 0.999945 + 0.0105260i \(0.00335061\pi\)
−0.802785 + 0.596268i \(0.796649\pi\)
\(312\) 118.317 364.142i 0.0214692 0.0660753i
\(313\) 132.624 408.176i 0.0239501 0.0737107i −0.938367 0.345640i \(-0.887662\pi\)
0.962317 + 0.271930i \(0.0876618\pi\)
\(314\) 142.821 + 439.557i 0.0256683 + 0.0789989i
\(315\) 207.207 172.186i 0.0370628 0.0307987i
\(316\) 2699.57 8308.43i 0.480579 1.47907i
\(317\) −3210.73 2332.73i −0.568873 0.413310i 0.265823 0.964022i \(-0.414356\pi\)
−0.834696 + 0.550712i \(0.814356\pi\)
\(318\) 426.608 0.0752296
\(319\) −2050.77 1489.97i −0.359940 0.261512i
\(320\) −1073.80 + 4220.72i −0.187585 + 0.737329i
\(321\) −1279.03 + 929.271i −0.222394 + 0.161579i
\(322\) −144.696 + 105.128i −0.0250422 + 0.0181942i
\(323\) 258.495 + 795.566i 0.0445296 + 0.137048i
\(324\) −621.256 −0.106525
\(325\) 1756.85 229.805i 0.299854 0.0392225i
\(326\) −1815.04 −0.308361
\(327\) −54.1102 166.534i −0.00915077 0.0281632i
\(328\) −1049.62 + 762.594i −0.176694 + 0.128376i
\(329\) 994.801 722.765i 0.166703 0.121117i
\(330\) −934.437 + 776.505i −0.155876 + 0.129531i
\(331\) 4997.11 + 3630.61i 0.829807 + 0.602890i 0.919505 0.393079i \(-0.128590\pi\)
−0.0896980 + 0.995969i \(0.528590\pi\)
\(332\) 7567.38 1.25094
\(333\) −603.571 438.520i −0.0993258 0.0721644i
\(334\) 500.051 1539.00i 0.0819209 0.252127i
\(335\) 2708.61 + 6797.40i 0.441752 + 1.10860i
\(336\) −139.458 429.206i −0.0226430 0.0696878i
\(337\) −2557.17 + 7870.15i −0.413346 + 1.27215i 0.500375 + 0.865809i \(0.333195\pi\)
−0.913722 + 0.406341i \(0.866805\pi\)
\(338\) 354.431 1090.83i 0.0570370 0.175542i
\(339\) −43.7991 134.800i −0.00701723 0.0215968i
\(340\) 2203.78 + 1391.77i 0.351520 + 0.221997i
\(341\) 4341.55 13361.9i 0.689466 2.12196i
\(342\) 115.141 + 83.6547i 0.0182050 + 0.0132267i
\(343\) 1817.53 0.286114
\(344\) −3161.10 2296.67i −0.495450 0.359966i
\(345\) 1443.40 + 3622.30i 0.225247 + 0.565270i
\(346\) −1704.71 + 1238.54i −0.264872 + 0.192440i
\(347\) −3062.22 + 2224.83i −0.473743 + 0.344194i −0.798898 0.601466i \(-0.794583\pi\)
0.325156 + 0.945661i \(0.394583\pi\)
\(348\) 285.912 + 879.946i 0.0440416 + 0.135546i
\(349\) −7094.08 −1.08807 −0.544037 0.839061i \(-0.683105\pi\)
−0.544037 + 0.839061i \(0.683105\pi\)
\(350\) −139.606 + 132.261i −0.0213208 + 0.0201989i
\(351\) 382.712 0.0581985
\(352\) 2032.12 + 6254.22i 0.307706 + 0.947020i
\(353\) 1416.95 1029.47i 0.213644 0.155222i −0.475817 0.879544i \(-0.657847\pi\)
0.689461 + 0.724323i \(0.257847\pi\)
\(354\) 432.974 314.574i 0.0650065 0.0472300i
\(355\) −10130.3 + 659.740i −1.51454 + 0.0986348i
\(356\) 6135.38 + 4457.62i 0.913412 + 0.663633i
\(357\) −244.147 −0.0361951
\(358\) 1129.66 + 820.744i 0.166772 + 0.121167i
\(359\) −101.297 + 311.759i −0.0148920 + 0.0458329i −0.958226 0.286011i \(-0.907671\pi\)
0.943334 + 0.331844i \(0.107671\pi\)
\(360\) 904.093 58.8793i 0.132361 0.00862003i
\(361\) −1885.50 5802.98i −0.274895 0.846039i
\(362\) 582.856 1793.85i 0.0846250 0.260449i
\(363\) 2450.23 7541.02i 0.354280 1.09036i
\(364\) 89.9489 + 276.834i 0.0129522 + 0.0398628i
\(365\) −2421.79 + 9519.21i −0.347294 + 1.36509i
\(366\) −1.11071 + 3.41843i −0.000158628 + 0.000488208i
\(367\) 4716.67 + 3426.86i 0.670867 + 0.487413i 0.870315 0.492495i \(-0.163915\pi\)
−0.199448 + 0.979908i \(0.563915\pi\)
\(368\) 6531.74 0.925246
\(369\) −1049.16 762.257i −0.148013 0.107538i
\(370\) 450.267 + 284.360i 0.0632656 + 0.0399545i
\(371\) −536.061 + 389.471i −0.0750159 + 0.0545022i
\(372\) −4148.69 + 3014.20i −0.578225 + 0.420105i
\(373\) 887.259 + 2730.70i 0.123165 + 0.379063i 0.993562 0.113287i \(-0.0361380\pi\)
−0.870397 + 0.492350i \(0.836138\pi\)
\(374\) 1101.03 0.152227
\(375\) 2044.03 + 3660.61i 0.281476 + 0.504088i
\(376\) 4135.18 0.567169
\(377\) −176.130 542.073i −0.0240615 0.0740535i
\(378\) −33.6055 + 24.4159i −0.00457271 + 0.00332226i
\(379\) 8973.27 6519.46i 1.21616 0.883594i 0.220387 0.975412i \(-0.429268\pi\)
0.995776 + 0.0918182i \(0.0292678\pi\)
\(380\) 1995.33 + 1260.12i 0.269364 + 0.170113i
\(381\) 3812.42 + 2769.88i 0.512641 + 0.372455i
\(382\) −1225.39 −0.164127
\(383\) −579.752 421.215i −0.0773472 0.0561960i 0.548440 0.836190i \(-0.315222\pi\)
−0.625787 + 0.779994i \(0.715222\pi\)
\(384\) 981.154 3019.68i 0.130389 0.401295i
\(385\) 465.272 1828.82i 0.0615908 0.242092i
\(386\) 686.872 + 2113.97i 0.0905722 + 0.278753i
\(387\) 1206.90 3714.45i 0.158527 0.487897i
\(388\) −3645.02 + 11218.2i −0.476928 + 1.46783i
\(389\) 2338.83 + 7198.19i 0.304842 + 0.938207i 0.979736 + 0.200293i \(0.0641893\pi\)
−0.674894 + 0.737915i \(0.735811\pi\)
\(390\) −272.607 + 17.7536i −0.0353948 + 0.00230509i
\(391\) 1091.95 3360.68i 0.141234 0.434673i
\(392\) 2446.32 + 1777.36i 0.315199 + 0.229005i
\(393\) −8693.89 −1.11590
\(394\) −820.724 596.291i −0.104943 0.0762454i
\(395\) −12707.6 + 827.584i −1.61870 + 0.105418i
\(396\) −3520.48 + 2557.78i −0.446744 + 0.324579i
\(397\) −576.649 + 418.960i −0.0728997 + 0.0529648i −0.623638 0.781713i \(-0.714346\pi\)
0.550739 + 0.834678i \(0.314346\pi\)
\(398\) −701.868 2160.13i −0.0883957 0.272054i
\(399\) −221.054 −0.0277357
\(400\) 6963.79 910.899i 0.870473 0.113862i
\(401\) −5539.33 −0.689828 −0.344914 0.938634i \(-0.612092\pi\)
−0.344914 + 0.938634i \(0.612092\pi\)
\(402\) −348.629 1072.97i −0.0432538 0.133121i
\(403\) 2555.72 1856.84i 0.315904 0.229518i
\(404\) −1652.30 + 1200.47i −0.203478 + 0.147835i
\(405\) 335.229 + 841.277i 0.0411301 + 0.103218i
\(406\) 50.0484 + 36.3623i 0.00611788 + 0.00444490i
\(407\) −5225.69 −0.636432
\(408\) −664.240 482.599i −0.0806000 0.0585593i
\(409\) −2701.55 + 8314.52i −0.326609 + 1.00520i 0.644100 + 0.764941i \(0.277232\pi\)
−0.970709 + 0.240258i \(0.922768\pi\)
\(410\) 782.676 + 494.288i 0.0942771 + 0.0595393i
\(411\) 1208.87 + 3720.53i 0.145084 + 0.446522i
\(412\) 1848.21 5688.21i 0.221007 0.680190i
\(413\) −256.870 + 790.564i −0.0306047 + 0.0941916i
\(414\) −185.783 571.780i −0.0220549 0.0678779i
\(415\) −4083.35 10247.4i −0.482997 1.21211i
\(416\) −456.922 + 1406.26i −0.0538521 + 0.165740i
\(417\) −2999.59 2179.33i −0.352255 0.255928i
\(418\) 996.884 0.116649
\(419\) −2623.21 1905.87i −0.305853 0.222215i 0.424262 0.905539i \(-0.360533\pi\)
−0.730115 + 0.683324i \(0.760533\pi\)
\(420\) −529.747 + 440.212i −0.0615452 + 0.0511433i
\(421\) 1410.17 1024.55i 0.163249 0.118607i −0.503162 0.864192i \(-0.667830\pi\)
0.666410 + 0.745585i \(0.267830\pi\)
\(422\) 2215.46 1609.63i 0.255561 0.185676i
\(423\) 1277.28 + 3931.05i 0.146816 + 0.451854i
\(424\) −2228.29 −0.255225
\(425\) 695.508 3735.26i 0.0793813 0.426321i
\(426\) 1565.24 0.178019
\(427\) −1.72516 5.30950i −0.000195518 0.000601744i
\(428\) 3269.99 2375.78i 0.369301 0.268313i
\(429\) 2168.72 1575.67i 0.244072 0.177328i
\(430\) −687.366 + 2701.79i −0.0770878 + 0.303005i
\(431\) −5437.70 3950.72i −0.607715 0.441531i 0.240894 0.970551i \(-0.422559\pi\)
−0.848609 + 0.529021i \(0.822559\pi\)
\(432\) 1516.99 0.168950
\(433\) 4669.15 + 3392.34i 0.518210 + 0.376502i 0.815929 0.578152i \(-0.196226\pi\)
−0.297719 + 0.954654i \(0.596226\pi\)
\(434\) −105.954 + 326.094i −0.0117188 + 0.0360668i
\(435\) 1037.30 861.987i 0.114333 0.0950094i
\(436\) 138.339 + 425.763i 0.0151955 + 0.0467668i
\(437\) 988.668 3042.81i 0.108225 0.333083i
\(438\) 467.993 1440.33i 0.0510538 0.157127i
\(439\) −1919.93 5908.95i −0.208732 0.642412i −0.999539 0.0303466i \(-0.990339\pi\)
0.790807 0.612065i \(-0.209661\pi\)
\(440\) 4880.82 4055.90i 0.528827 0.439449i
\(441\) −933.998 + 2874.55i −0.100853 + 0.310393i
\(442\) 200.285 + 145.516i 0.0215534 + 0.0156594i
\(443\) −6346.31 −0.680638 −0.340319 0.940310i \(-0.610535\pi\)
−0.340319 + 0.940310i \(0.610535\pi\)
\(444\) 1543.09 + 1121.12i 0.164937 + 0.119834i
\(445\) 2725.65 10713.6i 0.290356 1.14129i
\(446\) −1022.77 + 743.085i −0.108586 + 0.0788926i
\(447\) 1966.42 1428.69i 0.208073 0.151174i
\(448\) 322.293 + 991.917i 0.0339887 + 0.104606i
\(449\) −2732.09 −0.287161 −0.143581 0.989639i \(-0.545862\pi\)
−0.143581 + 0.989639i \(0.545862\pi\)
\(450\) −277.810 583.692i −0.0291024 0.0611456i
\(451\) −9083.55 −0.948399
\(452\) 111.977 + 344.631i 0.0116526 + 0.0358630i
\(453\) 8366.51 6078.63i 0.867755 0.630461i
\(454\) 453.297 329.339i 0.0468596 0.0340455i
\(455\) 326.340 271.184i 0.0336243 0.0279413i
\(456\) −601.412 436.951i −0.0617625 0.0448731i
\(457\) 11572.5 1.18455 0.592276 0.805735i \(-0.298230\pi\)
0.592276 + 0.805735i \(0.298230\pi\)
\(458\) 741.209 + 538.520i 0.0756210 + 0.0549419i
\(459\) 253.605 780.516i 0.0257892 0.0793711i
\(460\) −3690.22 9260.81i −0.374038 0.938669i
\(461\) −1118.62 3442.75i −0.113013 0.347819i 0.878514 0.477716i \(-0.158535\pi\)
−0.991527 + 0.129897i \(0.958535\pi\)
\(462\) −89.9102 + 276.715i −0.00905411 + 0.0278657i
\(463\) −3882.35 + 11948.7i −0.389694 + 1.19935i 0.543324 + 0.839523i \(0.317166\pi\)
−0.933018 + 0.359831i \(0.882834\pi\)
\(464\) −698.143 2148.66i −0.0698502 0.214977i
\(465\) 6320.32 + 3991.51i 0.630318 + 0.398068i
\(466\) 831.377 2558.72i 0.0826455 0.254357i
\(467\) −14107.1 10249.4i −1.39786 1.01561i −0.994951 0.100366i \(-0.967999\pi\)
−0.402910 0.915240i \(-0.632001\pi\)
\(468\) −978.446 −0.0966425
\(469\) 1417.64 + 1029.97i 0.139575 + 0.101407i
\(470\) −1092.16 2740.84i −0.107187 0.268991i
\(471\) 1952.17 1418.33i 0.190979 0.138754i
\(472\) −2261.54 + 1643.11i −0.220542 + 0.160233i
\(473\) −8453.64 26017.6i −0.821773 2.52916i
\(474\) 1963.45 0.190262
\(475\) 629.722 3381.95i 0.0608287 0.326683i
\(476\) 624.189 0.0601043
\(477\) −688.276 2118.29i −0.0660670 0.203333i
\(478\) 33.6159 24.4234i 0.00321665 0.00233703i
\(479\) 555.095 403.300i 0.0529497 0.0384702i −0.560996 0.827819i \(-0.689582\pi\)
0.613945 + 0.789349i \(0.289582\pi\)
\(480\) −3491.47 + 227.383i −0.332007 + 0.0216220i
\(481\) −950.593 690.646i −0.0901108 0.0654693i
\(482\) −1053.36 −0.0995417
\(483\) 755.453 + 548.869i 0.0711683 + 0.0517068i
\(484\) −6264.27 + 19279.4i −0.588305 + 1.81062i
\(485\) 17158.1 1117.42i 1.60641 0.104618i
\(486\) −43.1479 132.795i −0.00402721 0.0123945i
\(487\) 1216.53 3744.08i 0.113195 0.348379i −0.878371 0.477979i \(-0.841369\pi\)
0.991566 + 0.129600i \(0.0413694\pi\)
\(488\) 5.80157 17.8554i 0.000538165 0.00165630i
\(489\) 2928.32 + 9012.45i 0.270804 + 0.833450i
\(490\) 531.942 2090.88i 0.0490422 0.192768i
\(491\) −6027.95 + 18552.1i −0.554048 + 1.70518i 0.144397 + 0.989520i \(0.453876\pi\)
−0.698445 + 0.715664i \(0.746124\pi\)
\(492\) 2682.28 + 1948.79i 0.245786 + 0.178574i
\(493\) −1222.23 −0.111656
\(494\) 181.341 + 131.752i 0.0165160 + 0.0119996i
\(495\) 5363.27 + 3387.10i 0.486992 + 0.307553i
\(496\) 10130.3 7360.12i 0.917067 0.666288i
\(497\) −1966.82 + 1428.98i −0.177513 + 0.128971i
\(498\) 525.574 + 1617.55i 0.0472922 + 0.145551i
\(499\) −8132.04 −0.729539 −0.364770 0.931098i \(-0.618852\pi\)
−0.364770 + 0.931098i \(0.618852\pi\)
\(500\) −5225.80 9358.74i −0.467410 0.837071i
\(501\) −8448.56 −0.753401
\(502\) 37.6318 + 115.819i 0.00334579 + 0.0102973i
\(503\) −17482.4 + 12701.7i −1.54971 + 1.12593i −0.605845 + 0.795582i \(0.707165\pi\)
−0.943860 + 0.330345i \(0.892835\pi\)
\(504\) 175.531 127.531i 0.0155134 0.0112712i
\(505\) 2517.20 + 1589.70i 0.221809 + 0.140081i
\(506\) −3406.86 2475.23i −0.299315 0.217465i
\(507\) −5988.25 −0.524551
\(508\) −9746.86 7081.51i −0.851274 0.618487i
\(509\) 4650.20 14311.8i 0.404944 1.24629i −0.515999 0.856589i \(-0.672579\pi\)
0.920942 0.389699i \(-0.127421\pi\)
\(510\) −144.436 + 567.727i −0.0125407 + 0.0492929i
\(511\) 726.886 + 2237.12i 0.0629267 + 0.193668i
\(512\) −3061.77 + 9423.15i −0.264282 + 0.813376i
\(513\) 229.617 706.689i 0.0197619 0.0608209i
\(514\) 1256.24 + 3866.31i 0.107802 + 0.331782i
\(515\) −8700.01 + 566.590i −0.744405 + 0.0484795i
\(516\) −3085.56 + 9496.39i −0.263245 + 0.810185i
\(517\) 23422.5 + 17017.4i 1.99250 + 1.44763i
\(518\) 127.532 0.0108174
\(519\) 8900.21 + 6466.38i 0.752747 + 0.546903i
\(520\) 1423.90 92.7318i 0.120081 0.00782030i
\(521\) −6623.59 + 4812.32i −0.556977 + 0.404667i −0.830351 0.557240i \(-0.811860\pi\)
0.273375 + 0.961908i \(0.411860\pi\)
\(522\) −168.234 + 122.229i −0.0141061 + 0.0102487i
\(523\) 4169.76 + 12833.2i 0.348625 + 1.07296i 0.959614 + 0.281319i \(0.0907720\pi\)
−0.610989 + 0.791639i \(0.709228\pi\)
\(524\) 22226.9 1.85303
\(525\) 881.967 + 479.820i 0.0733184 + 0.0398878i
\(526\) 2904.97 0.240804
\(527\) −2093.34 6442.65i −0.173031 0.532535i
\(528\) 8596.35 6245.61i 0.708538 0.514783i
\(529\) −1090.64 + 792.396i −0.0896392 + 0.0651267i
\(530\) 588.525 + 1476.94i 0.0482338 + 0.121045i
\(531\) −2260.54 1642.38i −0.184744 0.134224i
\(532\) 565.149 0.0460570
\(533\) −1652.37 1200.51i −0.134281 0.0975611i
\(534\) −526.711 + 1621.05i −0.0426836 + 0.131367i
\(535\) −4981.66 3146.09i −0.402572 0.254238i
\(536\) 1820.98 + 5604.41i 0.146743 + 0.451630i
\(537\) 2252.80 6933.40i 0.181034 0.557166i
\(538\) −409.908 + 1261.57i −0.0328483 + 0.101097i
\(539\) 6542.13 + 20134.6i 0.522801 + 1.60902i
\(540\) −857.050 2150.82i −0.0682992 0.171401i
\(541\) −2450.73 + 7542.58i −0.194760 + 0.599410i 0.805219 + 0.592977i \(0.202048\pi\)
−0.999979 + 0.00643276i \(0.997952\pi\)
\(542\) −273.329 198.585i −0.0216614 0.0157379i
\(543\) −9847.58 −0.778269
\(544\) 2565.20 + 1863.72i 0.202172 + 0.146887i
\(545\) 501.901 417.073i 0.0394478 0.0327806i
\(546\) −52.9270 + 38.4537i −0.00414847 + 0.00301404i
\(547\) 11905.8 8650.05i 0.930629 0.676142i −0.0155174 0.999880i \(-0.504940\pi\)
0.946147 + 0.323738i \(0.104940\pi\)
\(548\) −3090.62 9511.95i −0.240921 0.741479i
\(549\) 18.7660 0.00145886
\(550\) −3977.39 2163.84i −0.308357 0.167757i
\(551\) −1106.63 −0.0855606
\(552\) 970.394 + 2986.57i 0.0748238 + 0.230284i
\(553\) −2467.20 + 1792.52i −0.189721 + 0.137841i
\(554\) −1408.16 + 1023.09i −0.107991 + 0.0784601i
\(555\) 685.522 2694.55i 0.0524303 0.206085i
\(556\) 7668.77 + 5571.69i 0.584943 + 0.424986i
\(557\) 22711.9 1.72771 0.863856 0.503739i \(-0.168043\pi\)
0.863856 + 0.503739i \(0.168043\pi\)
\(558\) −932.432 677.452i −0.0707402 0.0513957i
\(559\) 1900.80 5850.06i 0.143820 0.442632i
\(560\) 1293.54 1074.92i 0.0976110 0.0811134i
\(561\) −1776.36 5467.07i −0.133686 0.411444i
\(562\) 1092.49 3362.35i 0.0820000 0.252370i
\(563\) 715.529 2202.17i 0.0535630 0.164850i −0.920697 0.390279i \(-0.872378\pi\)
0.974260 + 0.225429i \(0.0723785\pi\)
\(564\) −3265.49 10050.2i −0.243798 0.750333i
\(565\) 406.260 337.597i 0.0302504 0.0251377i
\(566\) 988.238 3041.48i 0.0733900 0.225871i
\(567\) 175.453 + 127.474i 0.0129953 + 0.00944165i
\(568\) −8175.66 −0.603949
\(569\) 5246.99 + 3812.16i 0.386582 + 0.280868i 0.764053 0.645153i \(-0.223206\pi\)
−0.377472 + 0.926021i \(0.623206\pi\)
\(570\) −130.774 + 514.028i −0.00960971 + 0.0377724i
\(571\) 1237.96 899.434i 0.0907307 0.0659197i −0.541495 0.840704i \(-0.682142\pi\)
0.632226 + 0.774784i \(0.282142\pi\)
\(572\) −5544.57 + 4028.36i −0.405297 + 0.294466i
\(573\) 1977.01 + 6084.62i 0.144138 + 0.443610i
\(574\) 221.682 0.0161199
\(575\) −10549.3 + 9994.25i −0.765109 + 0.724851i
\(576\) −3505.84 −0.253606
\(577\) 2455.32 + 7556.70i 0.177151 + 0.545216i 0.999725 0.0234424i \(-0.00746262\pi\)
−0.822574 + 0.568658i \(0.807463\pi\)
\(578\) −1854.40 + 1347.30i −0.133448 + 0.0969556i
\(579\) 9388.62 6821.23i 0.673882 0.489604i
\(580\) −2651.98 + 2203.76i −0.189858 + 0.157769i
\(581\) −2137.16 1552.74i −0.152606 0.110875i
\(582\) −2651.09 −0.188816
\(583\) −12621.5 9170.06i −0.896619 0.651432i
\(584\) −2444.45 + 7523.26i −0.173206 + 0.533073i
\(585\) 527.969 + 1324.97i 0.0373142 + 0.0936421i
\(586\) −508.891 1566.21i −0.0358739 0.110409i
\(587\) −863.957 + 2658.98i −0.0607484 + 0.186964i −0.976825 0.214038i \(-0.931338\pi\)
0.916077 + 0.401003i \(0.131338\pi\)
\(588\) 2387.87 7349.10i 0.167473 0.515428i
\(589\) −1895.34 5833.26i −0.132591 0.408074i
\(590\) 1686.37 + 1065.01i 0.117673 + 0.0743145i
\(591\) −1636.71 + 5037.28i −0.113918 + 0.350603i
\(592\) −3767.95 2737.58i −0.261591 0.190057i
\(593\) 18900.9 1.30889 0.654443 0.756112i \(-0.272903\pi\)
0.654443 + 0.756112i \(0.272903\pi\)
\(594\) −791.239 574.869i −0.0546548 0.0397090i
\(595\) −336.812 845.248i −0.0232066 0.0582383i
\(596\) −5027.38 + 3652.60i −0.345519 + 0.251034i
\(597\) −9593.60 + 6970.16i −0.657688 + 0.477838i
\(598\) −292.598 900.524i −0.0200087 0.0615806i
\(599\) 5146.04 0.351021 0.175511 0.984478i \(-0.443842\pi\)
0.175511 + 0.984478i \(0.443842\pi\)
\(600\) 1451.08 + 3048.78i 0.0987334 + 0.207443i
\(601\) −1011.92 −0.0686805 −0.0343403 0.999410i \(-0.510933\pi\)
−0.0343403 + 0.999410i \(0.510933\pi\)
\(602\) 206.309 + 634.953i 0.0139676 + 0.0429879i
\(603\) −4765.29 + 3462.18i −0.321820 + 0.233816i
\(604\) −21389.9 + 15540.7i −1.44096 + 1.04692i
\(605\) 29487.5 1920.38i 1.98155 0.129049i
\(606\) −371.360 269.809i −0.0248935 0.0180862i
\(607\) 10173.3 0.680263 0.340131 0.940378i \(-0.389528\pi\)
0.340131 + 0.940378i \(0.389528\pi\)
\(608\) 2322.56 + 1687.44i 0.154922 + 0.112557i
\(609\) 99.8080 307.177i 0.00664109 0.0204392i
\(610\) −13.3670 + 0.870530i −0.000887238 + 5.77815e-5i
\(611\) 2011.64 + 6191.20i 0.133195 + 0.409933i
\(612\) −648.369 + 1995.47i −0.0428247 + 0.131801i
\(613\) 6821.12 20993.3i 0.449433 1.38321i −0.428115 0.903724i \(-0.640822\pi\)
0.877548 0.479489i \(-0.159178\pi\)
\(614\) 347.559 + 1069.68i 0.0228442 + 0.0703071i
\(615\) 1191.61 4683.79i 0.0781305 0.307104i
\(616\) 469.626 1445.36i 0.0307171 0.0945376i
\(617\) 18690.4 + 13579.4i 1.21953 + 0.886039i 0.996061 0.0886729i \(-0.0282626\pi\)
0.223467 + 0.974712i \(0.428263\pi\)
\(618\) 1344.24 0.0874970
\(619\) −1080.02 784.684i −0.0701290 0.0509517i 0.552168 0.833733i \(-0.313801\pi\)
−0.622297 + 0.782781i \(0.713801\pi\)
\(620\) −16158.6 10204.7i −1.04669 0.661019i
\(621\) −2539.40 + 1844.98i −0.164094 + 0.119222i
\(622\) 1626.69 1181.86i 0.104862 0.0761868i
\(623\) −818.087 2517.81i −0.0526099 0.161917i
\(624\) 2389.18 0.153275
\(625\) −9853.35 + 12126.5i −0.630614 + 0.776096i
\(626\) −246.610 −0.0157453
\(627\) −1608.34 4949.96i −0.102442 0.315283i
\(628\) −4990.93 + 3626.12i −0.317133 + 0.230411i
\(629\) −2038.44 + 1481.01i −0.129218 + 0.0938820i
\(630\) −130.889 82.6611i −0.00827738 0.00522746i
\(631\) 5073.00 + 3685.75i 0.320052 + 0.232531i 0.736198 0.676767i \(-0.236619\pi\)
−0.416146 + 0.909298i \(0.636619\pi\)
\(632\) −10255.6 −0.645485
\(633\) −11566.8 8403.80i −0.726288 0.527679i
\(634\) −704.692 + 2168.82i −0.0441434 + 0.135859i
\(635\) −4330.06 + 17019.9i −0.270603 + 1.06365i
\(636\) 1759.65 + 5415.65i 0.109709 + 0.337649i
\(637\) −1471.00 + 4527.27i −0.0914962 + 0.281596i
\(638\) −450.102 + 1385.27i −0.0279306 + 0.0859616i
\(639\) −2525.30 7772.07i −0.156337 0.481155i
\(640\) 11807.8 768.986i 0.729288 0.0474951i
\(641\) 2824.44 8692.72i 0.174038 0.535635i −0.825550 0.564329i \(-0.809135\pi\)
0.999588 + 0.0286942i \(0.00913491\pi\)
\(642\) 734.940 + 533.965i 0.0451803 + 0.0328254i
\(643\) −12262.8 −0.752095 −0.376047 0.926600i \(-0.622717\pi\)
−0.376047 + 0.926600i \(0.622717\pi\)
\(644\) −1931.40 1403.24i −0.118180 0.0858626i
\(645\) 14524.6 945.914i 0.886672 0.0577447i
\(646\) 388.864 282.527i 0.0236837 0.0172072i
\(647\) 13172.3 9570.20i 0.800394 0.581520i −0.110636 0.993861i \(-0.535289\pi\)
0.911030 + 0.412341i \(0.135289\pi\)
\(648\) 225.373 + 693.627i 0.0136628 + 0.0420498i
\(649\) −19571.7 −1.18375
\(650\) −437.537 919.284i −0.0264025 0.0554728i
\(651\) 1790.14 0.107774
\(652\) −7486.58 23041.3i −0.449689 1.38400i
\(653\) −3811.13 + 2768.95i −0.228393 + 0.165938i −0.696097 0.717948i \(-0.745082\pi\)
0.467703 + 0.883886i \(0.345082\pi\)
\(654\) −81.4001 + 59.1407i −0.00486697 + 0.00353606i
\(655\) −11993.6 30098.6i −0.715464 1.79550i
\(656\) −6549.63 4758.59i −0.389817 0.283219i
\(657\) −7906.92 −0.469526
\(658\) −571.619 415.306i −0.0338663 0.0246053i
\(659\) 5153.02 15859.4i 0.304603 0.937471i −0.675222 0.737614i \(-0.735952\pi\)
0.979825 0.199857i \(-0.0640476\pi\)
\(660\) −13711.8 8659.48i −0.808683 0.510712i
\(661\) −5801.03 17853.7i −0.341352 1.05057i −0.963508 0.267680i \(-0.913743\pi\)
0.622156 0.782894i \(-0.286257\pi\)
\(662\) 1096.77 3375.50i 0.0643913 0.198176i
\(663\) 399.415 1229.27i 0.0233966 0.0720075i
\(664\) −2745.22 8448.91i −0.160444 0.493797i
\(665\) −304.954 765.299i −0.0177829 0.0446271i
\(666\) −132.472 + 407.706i −0.00770748 + 0.0237212i
\(667\) 3781.90 + 2747.71i 0.219544 + 0.159508i
\(668\) 21599.7 1.25107
\(669\) 5339.84 + 3879.62i 0.308595 + 0.224207i
\(670\) 3233.72 2687.18i 0.186462 0.154947i
\(671\) 106.341 77.2614i 0.00611812 0.00444507i
\(672\) −677.874 + 492.504i −0.0389130 + 0.0282720i
\(673\) 9259.20 + 28496.9i 0.530336 + 1.63221i 0.753517 + 0.657429i \(0.228356\pi\)
−0.223181 + 0.974777i \(0.571644\pi\)
\(674\) 4754.96 0.271742
\(675\) −2450.07 + 2321.16i −0.139709 + 0.132358i
\(676\) 15309.6 0.871052
\(677\) −6669.63 20527.0i −0.378633 1.16531i −0.940995 0.338421i \(-0.890107\pi\)
0.562362 0.826891i \(-0.309893\pi\)
\(678\) −65.8888 + 47.8710i −0.00373222 + 0.00271161i
\(679\) 3331.26 2420.30i 0.188280 0.136793i
\(680\) 754.429 2965.40i 0.0425456 0.167232i
\(681\) −2366.65 1719.47i −0.133172 0.0967551i
\(682\) −8072.96 −0.453269
\(683\) −4810.04 3494.70i −0.269474 0.195784i 0.444839 0.895610i \(-0.353261\pi\)
−0.714313 + 0.699826i \(0.753261\pi\)
\(684\) −587.042 + 1806.73i −0.0328159 + 0.100997i
\(685\) −11213.0 + 9317.82i −0.625438 + 0.519731i
\(686\) −322.726 993.248i −0.0179617 0.0552804i
\(687\) 1478.14 4549.25i 0.0820882 0.252642i
\(688\) 7534.37 23188.4i 0.417508 1.28496i
\(689\) −1084.00 3336.20i −0.0599377 0.184469i
\(690\) 1723.23 1431.98i 0.0950759 0.0790068i
\(691\) −4660.89 + 14344.7i −0.256597 + 0.789725i 0.736914 + 0.675987i \(0.236282\pi\)
−0.993511 + 0.113738i \(0.963718\pi\)
\(692\) −22754.4 16532.0i −1.24999 0.908168i
\(693\) 1519.07 0.0832679
\(694\) 1759.57 + 1278.40i 0.0962427 + 0.0699244i
\(695\) 3406.86 13391.2i 0.185942 0.730872i
\(696\) 878.732 638.436i 0.0478567 0.0347699i
\(697\) −3543.31 + 2574.37i −0.192557 + 0.139901i
\(698\) 1259.65 + 3876.80i 0.0683071 + 0.210228i
\(699\) −14046.4 −0.760065
\(700\) −2254.84 1226.71i −0.121750 0.0662363i
\(701\) 29869.3 1.60934 0.804671 0.593722i \(-0.202342\pi\)
0.804671 + 0.593722i \(0.202342\pi\)
\(702\) −67.9556 209.146i −0.00365359 0.0112446i
\(703\) −1845.63 + 1340.93i −0.0990174 + 0.0719403i
\(704\) −19866.6 + 14433.9i −1.06357 + 0.772726i
\(705\) −11847.4 + 9845.04i −0.632907 + 0.525937i
\(706\) −814.186 591.541i −0.0434027 0.0315339i
\(707\) 712.959 0.0379259
\(708\) 5779.32 + 4198.92i 0.306780 + 0.222888i
\(709\) 3546.30 10914.4i 0.187848 0.578136i −0.812138 0.583465i \(-0.801696\pi\)
0.999986 + 0.00532961i \(0.00169648\pi\)
\(710\) 2159.31 + 5418.91i 0.114137 + 0.286434i
\(711\) −3167.76 9749.36i −0.167089 0.514247i
\(712\) 2751.16 8467.19i 0.144809 0.445676i
\(713\) −8006.43 + 24641.2i −0.420537 + 1.29428i
\(714\) 43.3516 + 133.422i 0.00227226 + 0.00699329i
\(715\) 8446.87 + 5334.50i 0.441811 + 0.279020i
\(716\) −5759.52 + 17726.0i −0.300619 + 0.925211i
\(717\) −175.508 127.514i −0.00914149 0.00664168i
\(718\) 188.358 0.00979031
\(719\) −7033.06 5109.81i −0.364797 0.265040i 0.390253 0.920707i \(-0.372387\pi\)
−0.755050 + 0.655667i \(0.772387\pi\)
\(720\) 2092.76 + 5251.89i 0.108323 + 0.271842i
\(721\) −1689.12 + 1227.22i −0.0872484 + 0.0633897i
\(722\) −2836.44 + 2060.79i −0.146207 + 0.106225i
\(723\) 1699.45 + 5230.37i 0.0874181 + 0.269045i
\(724\) 25176.4 1.29237
\(725\) 4415.24 + 2402.05i 0.226177 + 0.123048i
\(726\) −4556.11 −0.232911
\(727\) 4671.47 + 14377.3i 0.238315 + 0.733459i 0.996664 + 0.0816103i \(0.0260063\pi\)
−0.758349 + 0.651849i \(0.773994\pi\)
\(728\) 276.452 200.854i 0.0140742 0.0102255i
\(729\) −589.773 + 428.495i −0.0299636 + 0.0217698i
\(730\) 5632.11 366.792i 0.285553 0.0185967i
\(731\) −10671.2 7753.11i −0.539931 0.392283i
\(732\) −47.9772 −0.00242253
\(733\) 27204.2 + 19765.0i 1.37082 + 0.995959i 0.997673 + 0.0681872i \(0.0217215\pi\)
0.373148 + 0.927772i \(0.378278\pi\)
\(734\) 1035.22 3186.06i 0.0520579 0.160218i
\(735\) −11240.3 + 732.028i −0.564089 + 0.0367364i
\(736\) −3747.51 11533.7i −0.187684 0.577631i
\(737\) −12749.3 + 39238.4i −0.637215 + 1.96115i
\(738\) −230.269 + 708.695i −0.0114855 + 0.0353488i
\(739\) −2946.68 9068.95i −0.146678 0.451430i 0.850545 0.525903i \(-0.176273\pi\)
−0.997223 + 0.0744731i \(0.976273\pi\)
\(740\) −1752.61 + 6888.90i −0.0870640 + 0.342218i
\(741\) 361.635 1113.00i 0.0179285 0.0551782i
\(742\) 308.024 + 223.793i 0.0152398 + 0.0110724i
\(743\) 39282.1 1.93960 0.969798 0.243909i \(-0.0784299\pi\)
0.969798 + 0.243909i \(0.0784299\pi\)
\(744\) 4870.35 + 3538.52i 0.239994 + 0.174366i
\(745\) 7658.96 + 4836.90i 0.376648 + 0.237866i
\(746\) 1334.74 969.744i 0.0655070 0.0475936i
\(747\) 7183.89 5219.40i 0.351867 0.255647i
\(748\) 4541.46 + 13977.2i 0.221995 + 0.683230i
\(749\) −1410.98 −0.0688333
\(750\) 1637.52 1767.02i 0.0797248 0.0860299i
\(751\) 15625.4 0.759226 0.379613 0.925145i \(-0.376057\pi\)
0.379613 + 0.925145i \(0.376057\pi\)
\(752\) 7973.73 + 24540.6i 0.386665 + 1.19003i
\(753\) 514.376 373.716i 0.0248936 0.0180863i
\(754\) −264.960 + 192.504i −0.0127974 + 0.00929788i
\(755\) 32586.4 + 20579.5i 1.57078 + 0.992006i
\(756\) −448.566 325.902i −0.0215796 0.0156785i
\(757\) −28389.3 −1.36305 −0.681524 0.731796i \(-0.738682\pi\)
−0.681524 + 0.731796i \(0.738682\pi\)
\(758\) −5156.10 3746.13i −0.247069 0.179506i
\(759\) −6794.06 + 20910.0i −0.324913 + 0.999978i
\(760\) 683.070 2684.91i 0.0326021 0.128147i
\(761\) −2807.36 8640.18i −0.133728 0.411572i 0.861662 0.507482i \(-0.169424\pi\)
−0.995390 + 0.0959105i \(0.969424\pi\)
\(762\) 836.750 2575.25i 0.0397799 0.122430i
\(763\) 48.2922 148.628i 0.00229134 0.00705203i
\(764\) −5054.45 15556.0i −0.239350 0.736644i
\(765\) 3052.04 198.765i 0.144244 0.00939392i
\(766\) −127.244 + 391.617i −0.00600198 + 0.0184722i
\(767\) −3560.23 2586.66i −0.167604 0.121772i
\(768\) 7524.50 0.353538
\(769\) −10201.3 7411.64i −0.478370 0.347556i 0.322324 0.946629i \(-0.395536\pi\)
−0.800694 + 0.599073i \(0.795536\pi\)
\(770\)