Properties

Label 49.4.e.a.43.10
Level $49$
Weight $4$
Character 49.43
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 43.10
Character \(\chi\) \(=\) 49.43
Dual form 49.4.e.a.8.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.88794 - 2.36740i) q^{2} +(-5.83533 - 2.81015i) q^{3} +(-0.260101 - 1.13958i) q^{4} +(-12.6471 - 6.09051i) q^{5} +(-17.6695 + 8.50917i) q^{6} +(-3.94107 - 18.0961i) q^{7} +(18.6363 + 8.97477i) q^{8} +(9.31994 + 11.6868i) q^{9} +O(q^{10})\) \(q+(1.88794 - 2.36740i) q^{2} +(-5.83533 - 2.81015i) q^{3} +(-0.260101 - 1.13958i) q^{4} +(-12.6471 - 6.09051i) q^{5} +(-17.6695 + 8.50917i) q^{6} +(-3.94107 - 18.0961i) q^{7} +(18.6363 + 8.97477i) q^{8} +(9.31994 + 11.6868i) q^{9} +(-38.2955 + 18.4422i) q^{10} +(1.11842 - 1.40245i) q^{11} +(-1.68461 + 7.38074i) q^{12} +(19.6402 - 24.6280i) q^{13} +(-50.2811 - 24.8342i) q^{14} +(56.6846 + 71.0802i) q^{15} +(64.8561 - 31.2330i) q^{16} +(3.96139 - 17.3560i) q^{17} +45.2629 q^{18} +34.8025 q^{19} +(-3.65109 + 15.9965i) q^{20} +(-27.8552 + 116.672i) q^{21} +(-1.20866 - 5.29549i) q^{22} +(-44.3595 - 194.352i) q^{23} +(-83.5285 - 104.741i) q^{24} +(44.9178 + 56.3251i) q^{25} +(-21.2249 - 92.9924i) q^{26} +(17.3694 + 76.1004i) q^{27} +(-19.5968 + 9.19798i) q^{28} +(-61.3317 + 268.712i) q^{29} +275.292 q^{30} +116.667 q^{31} +(11.6809 - 51.1772i) q^{32} +(-10.4675 + 5.04086i) q^{33} +(-33.6097 - 42.1452i) q^{34} +(-60.3712 + 252.865i) q^{35} +(10.8939 - 13.6606i) q^{36} +(7.15720 - 31.3578i) q^{37} +(65.7050 - 82.3915i) q^{38} +(-183.816 + 88.5209i) q^{39} +(-181.034 - 227.009i) q^{40} +(-294.218 - 141.688i) q^{41} +(223.619 + 286.213i) q^{42} +(405.907 - 195.474i) q^{43} +(-1.88911 - 0.909748i) q^{44} +(-46.6911 - 204.567i) q^{45} +(-543.856 - 261.907i) q^{46} +(-227.386 + 285.133i) q^{47} -466.226 q^{48} +(-311.936 + 142.636i) q^{49} +218.146 q^{50} +(-71.8889 + 90.1458i) q^{51} +(-33.1741 - 15.9758i) q^{52} +(-91.3405 - 400.189i) q^{53} +(212.952 + 102.552i) q^{54} +(-22.6864 + 10.9252i) q^{55} +(88.9610 - 372.614i) q^{56} +(-203.084 - 97.8002i) q^{57} +(520.358 + 652.508i) q^{58} +(753.642 - 362.935i) q^{59} +(66.2578 - 83.0847i) q^{60} +(1.60600 - 7.03636i) q^{61} +(220.260 - 276.198i) q^{62} +(174.755 - 214.713i) q^{63} +(259.950 + 325.967i) q^{64} +(-398.388 + 191.854i) q^{65} +(-7.82818 + 34.2975i) q^{66} +671.084 q^{67} -20.8089 q^{68} +(-287.304 + 1258.76i) q^{69} +(484.656 + 620.317i) q^{70} +(-159.690 - 699.647i) q^{71} +(68.8025 + 301.444i) q^{72} +(341.931 + 428.768i) q^{73} +(-60.7240 - 76.1455i) q^{74} +(-103.828 - 454.901i) q^{75} +(-9.05219 - 39.6602i) q^{76} +(-29.7867 - 14.7118i) q^{77} +(-137.468 + 602.287i) q^{78} +195.323 q^{79} -1010.46 q^{80} +(202.306 - 886.359i) q^{81} +(-890.898 + 429.034i) q^{82} +(801.597 + 1005.17i) q^{83} +(140.202 + 1.39671i) q^{84} +(-155.807 + 195.375i) q^{85} +(303.561 - 1329.99i) q^{86} +(1113.01 - 1395.67i) q^{87} +(33.4299 - 16.0990i) q^{88} +(-378.661 - 474.826i) q^{89} +(-572.442 - 275.674i) q^{90} +(-523.075 - 258.350i) q^{91} +(-209.941 + 101.102i) q^{92} +(-680.791 - 327.852i) q^{93} +(245.733 + 1076.63i) q^{94} +(-440.150 - 211.965i) q^{95} +(-211.977 + 265.811i) q^{96} +665.767 q^{97} +(-251.239 + 1007.76i) q^{98} +26.8139 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.88794 2.36740i 0.667487 0.837002i −0.326649 0.945146i \(-0.605919\pi\)
0.994135 + 0.108144i \(0.0344908\pi\)
\(3\) −5.83533 2.81015i −1.12301 0.540813i −0.222189 0.975004i \(-0.571320\pi\)
−0.900821 + 0.434191i \(0.857034\pi\)
\(4\) −0.260101 1.13958i −0.0325127 0.142447i
\(5\) −12.6471 6.09051i −1.13119 0.544751i −0.227857 0.973695i \(-0.573172\pi\)
−0.903331 + 0.428943i \(0.858886\pi\)
\(6\) −17.6695 + 8.50917i −1.20226 + 0.578976i
\(7\) −3.94107 18.0961i −0.212798 0.977096i
\(8\) 18.6363 + 8.97477i 0.823616 + 0.396632i
\(9\) 9.31994 + 11.6868i 0.345183 + 0.432846i
\(10\) −38.2955 + 18.4422i −1.21101 + 0.583192i
\(11\) 1.11842 1.40245i 0.0306560 0.0384415i −0.766267 0.642522i \(-0.777888\pi\)
0.796923 + 0.604081i \(0.206460\pi\)
\(12\) −1.68461 + 7.38074i −0.0405253 + 0.177553i
\(13\) 19.6402 24.6280i 0.419017 0.525430i −0.526862 0.849951i \(-0.676632\pi\)
0.945879 + 0.324521i \(0.105203\pi\)
\(14\) −50.2811 24.8342i −0.959871 0.474086i
\(15\) 56.6846 + 71.0802i 0.975727 + 1.22352i
\(16\) 64.8561 31.2330i 1.01338 0.488016i
\(17\) 3.96139 17.3560i 0.0565163 0.247614i −0.938777 0.344526i \(-0.888039\pi\)
0.995293 + 0.0969123i \(0.0308966\pi\)
\(18\) 45.2629 0.592698
\(19\) 34.8025 0.420224 0.210112 0.977677i \(-0.432617\pi\)
0.210112 + 0.977677i \(0.432617\pi\)
\(20\) −3.65109 + 15.9965i −0.0408205 + 0.178846i
\(21\) −27.8552 + 116.672i −0.289452 + 1.21237i
\(22\) −1.20866 5.29549i −0.0117131 0.0513183i
\(23\) −44.3595 194.352i −0.402156 1.76196i −0.618639 0.785675i \(-0.712316\pi\)
0.216483 0.976286i \(-0.430541\pi\)
\(24\) −83.5285 104.741i −0.710425 0.890844i
\(25\) 44.9178 + 56.3251i 0.359342 + 0.450601i
\(26\) −21.2249 92.9924i −0.160098 0.701435i
\(27\) 17.3694 + 76.1004i 0.123805 + 0.542427i
\(28\) −19.5968 + 9.19798i −0.132266 + 0.0620805i
\(29\) −61.3317 + 268.712i −0.392725 + 1.72064i 0.262260 + 0.964997i \(0.415532\pi\)
−0.654984 + 0.755642i \(0.727325\pi\)
\(30\) 275.292 1.67538
\(31\) 116.667 0.675936 0.337968 0.941158i \(-0.390260\pi\)
0.337968 + 0.941158i \(0.390260\pi\)
\(32\) 11.6809 51.1772i 0.0645283 0.282717i
\(33\) −10.4675 + 5.04086i −0.0552167 + 0.0265910i
\(34\) −33.6097 42.1452i −0.169530 0.212583i
\(35\) −60.3712 + 252.865i −0.291560 + 1.22120i
\(36\) 10.8939 13.6606i 0.0504349 0.0632434i
\(37\) 7.15720 31.3578i 0.0318010 0.139329i −0.956535 0.291617i \(-0.905807\pi\)
0.988336 + 0.152287i \(0.0486640\pi\)
\(38\) 65.7050 82.3915i 0.280494 0.351728i
\(39\) −183.816 + 88.5209i −0.754719 + 0.363454i
\(40\) −181.034 227.009i −0.715598 0.897332i
\(41\) −294.218 141.688i −1.12071 0.539706i −0.220600 0.975364i \(-0.570801\pi\)
−0.900112 + 0.435658i \(0.856516\pi\)
\(42\) 223.619 + 286.213i 0.821553 + 1.05151i
\(43\) 405.907 195.474i 1.43954 0.693245i 0.458795 0.888542i \(-0.348281\pi\)
0.980744 + 0.195297i \(0.0625671\pi\)
\(44\) −1.88911 0.909748i −0.00647259 0.00311704i
\(45\) −46.6911 204.567i −0.154673 0.677669i
\(46\) −543.856 261.907i −1.74320 0.839481i
\(47\) −227.386 + 285.133i −0.705694 + 0.884912i −0.997434 0.0715852i \(-0.977194\pi\)
0.291740 + 0.956498i \(0.405766\pi\)
\(48\) −466.226 −1.40196
\(49\) −311.936 + 142.636i −0.909434 + 0.415848i
\(50\) 218.146 0.617010
\(51\) −71.8889 + 90.1458i −0.197381 + 0.247508i
\(52\) −33.1741 15.9758i −0.0884695 0.0426047i
\(53\) −91.3405 400.189i −0.236728 1.03717i −0.943926 0.330157i \(-0.892898\pi\)
0.707198 0.707016i \(-0.249959\pi\)
\(54\) 212.952 + 102.552i 0.536651 + 0.258437i
\(55\) −22.6864 + 10.9252i −0.0556188 + 0.0267846i
\(56\) 88.9610 372.614i 0.212284 0.889154i
\(57\) −203.084 97.8002i −0.471915 0.227262i
\(58\) 520.358 + 652.508i 1.17804 + 1.47722i
\(59\) 753.642 362.935i 1.66298 0.800849i 0.664412 0.747366i \(-0.268682\pi\)
0.998569 0.0534831i \(-0.0170323\pi\)
\(60\) 66.2578 83.0847i 0.142564 0.178770i
\(61\) 1.60600 7.03636i 0.00337094 0.0147691i −0.973214 0.229899i \(-0.926160\pi\)
0.976585 + 0.215130i \(0.0690175\pi\)
\(62\) 220.260 276.198i 0.451179 0.565760i
\(63\) 174.755 214.713i 0.349478 0.429386i
\(64\) 259.950 + 325.967i 0.507715 + 0.636655i
\(65\) −398.388 + 191.854i −0.760215 + 0.366100i
\(66\) −7.82818 + 34.2975i −0.0145997 + 0.0639656i
\(67\) 671.084 1.22367 0.611836 0.790985i \(-0.290431\pi\)
0.611836 + 0.790985i \(0.290431\pi\)
\(68\) −20.8089 −0.0371095
\(69\) −287.304 + 1258.76i −0.501267 + 2.19619i
\(70\) 484.656 + 620.317i 0.827536 + 1.05917i
\(71\) −159.690 699.647i −0.266925 1.16948i −0.913569 0.406684i \(-0.866685\pi\)
0.646644 0.762792i \(-0.276172\pi\)
\(72\) 68.8025 + 301.444i 0.112617 + 0.493409i
\(73\) 341.931 + 428.768i 0.548219 + 0.687445i 0.976331 0.216280i \(-0.0693926\pi\)
−0.428112 + 0.903726i \(0.640821\pi\)
\(74\) −60.7240 76.1455i −0.0953921 0.119618i
\(75\) −103.828 454.901i −0.159854 0.700366i
\(76\) −9.05219 39.6602i −0.0136626 0.0598597i
\(77\) −29.7867 14.7118i −0.0440845 0.0217736i
\(78\) −137.468 + 602.287i −0.199554 + 0.874302i
\(79\) 195.323 0.278171 0.139086 0.990280i \(-0.455584\pi\)
0.139086 + 0.990280i \(0.455584\pi\)
\(80\) −1010.46 −1.41217
\(81\) 202.306 886.359i 0.277511 1.21586i
\(82\) −890.898 + 429.034i −1.19980 + 0.577791i
\(83\) 801.597 + 1005.17i 1.06008 + 1.32930i 0.941746 + 0.336325i \(0.109184\pi\)
0.118335 + 0.992974i \(0.462244\pi\)
\(84\) 140.202 + 1.39671i 0.182110 + 0.00181420i
\(85\) −155.807 + 195.375i −0.198819 + 0.249311i
\(86\) 303.561 1329.99i 0.380625 1.66763i
\(87\) 1113.01 1395.67i 1.37158 1.71991i
\(88\) 33.4299 16.0990i 0.0404959 0.0195018i
\(89\) −378.661 474.826i −0.450989 0.565522i 0.503414 0.864046i \(-0.332077\pi\)
−0.954402 + 0.298524i \(0.903506\pi\)
\(90\) −572.442 275.674i −0.670452 0.322873i
\(91\) −523.075 258.350i −0.602562 0.297609i
\(92\) −209.941 + 101.102i −0.237912 + 0.114572i
\(93\) −680.791 327.852i −0.759083 0.365555i
\(94\) 245.733 + 1076.63i 0.269632 + 1.18133i
\(95\) −440.150 211.965i −0.475352 0.228917i
\(96\) −211.977 + 265.811i −0.225363 + 0.282596i
\(97\) 665.767 0.696891 0.348445 0.937329i \(-0.386710\pi\)
0.348445 + 0.937329i \(0.386710\pi\)
\(98\) −251.239 + 1007.76i −0.258969 + 1.03877i
\(99\) 26.8139 0.0272212
\(100\) 52.5038 65.8376i 0.0525038 0.0658376i
\(101\) −361.759 174.214i −0.356400 0.171633i 0.247113 0.968987i \(-0.420518\pi\)
−0.603512 + 0.797354i \(0.706233\pi\)
\(102\) 77.6893 + 340.379i 0.0754156 + 0.330417i
\(103\) −667.639 321.518i −0.638684 0.307574i 0.0863730 0.996263i \(-0.472472\pi\)
−0.725057 + 0.688689i \(0.758187\pi\)
\(104\) 587.052 282.709i 0.553511 0.266557i
\(105\) 1062.88 1305.90i 0.987867 1.21374i
\(106\) −1119.85 539.292i −1.02613 0.494157i
\(107\) −153.777 192.830i −0.138936 0.174220i 0.707496 0.706718i \(-0.249825\pi\)
−0.846431 + 0.532498i \(0.821254\pi\)
\(108\) 82.2046 39.5876i 0.0732420 0.0352715i
\(109\) −277.240 + 347.648i −0.243622 + 0.305492i −0.888576 0.458729i \(-0.848305\pi\)
0.644955 + 0.764221i \(0.276876\pi\)
\(110\) −16.9662 + 74.3338i −0.0147060 + 0.0644314i
\(111\) −129.885 + 162.870i −0.111064 + 0.139270i
\(112\) −820.798 1050.55i −0.692483 0.886317i
\(113\) −430.478 539.803i −0.358371 0.449384i 0.569663 0.821879i \(-0.307074\pi\)
−0.928034 + 0.372495i \(0.878502\pi\)
\(114\) −614.943 + 296.141i −0.505216 + 0.243299i
\(115\) −622.682 + 2728.15i −0.504917 + 2.21219i
\(116\) 322.171 0.257869
\(117\) 470.869 0.372067
\(118\) 563.618 2469.37i 0.439705 1.92647i
\(119\) −329.687 3.28438i −0.253969 0.00253008i
\(120\) 418.462 + 1833.40i 0.318335 + 1.39472i
\(121\) 295.459 + 1294.49i 0.221983 + 0.972571i
\(122\) −13.6258 17.0863i −0.0101117 0.0126796i
\(123\) 1318.70 + 1653.59i 0.966690 + 1.21219i
\(124\) −30.3453 132.951i −0.0219765 0.0962854i
\(125\) 165.416 + 724.736i 0.118362 + 0.518579i
\(126\) −178.384 819.080i −0.126125 0.579123i
\(127\) −170.896 + 748.744i −0.119406 + 0.523152i 0.879479 + 0.475938i \(0.157891\pi\)
−0.998885 + 0.0472140i \(0.984966\pi\)
\(128\) 1682.41 1.16176
\(129\) −2917.91 −1.99153
\(130\) −297.938 + 1305.35i −0.201007 + 0.880669i
\(131\) 970.504 467.370i 0.647277 0.311712i −0.0812859 0.996691i \(-0.525903\pi\)
0.728563 + 0.684978i \(0.240188\pi\)
\(132\) 8.46706 + 10.6174i 0.00558305 + 0.00700093i
\(133\) −137.159 629.789i −0.0894227 0.410599i
\(134\) 1266.97 1588.72i 0.816785 1.02422i
\(135\) 243.818 1068.23i 0.155441 0.681030i
\(136\) 229.591 287.899i 0.144760 0.181523i
\(137\) −843.151 + 406.040i −0.525805 + 0.253214i −0.677903 0.735151i \(-0.737111\pi\)
0.152098 + 0.988365i \(0.451397\pi\)
\(138\) 2437.58 + 3056.63i 1.50363 + 1.88549i
\(139\) −2181.19 1050.40i −1.33098 0.640964i −0.373005 0.927829i \(-0.621673\pi\)
−0.957971 + 0.286865i \(0.907387\pi\)
\(140\) 303.863 + 3.02712i 0.183436 + 0.00182742i
\(141\) 2128.14 1024.86i 1.27107 0.612117i
\(142\) −1957.83 942.840i −1.15702 0.557193i
\(143\) −12.5737 55.0890i −0.00735291 0.0322152i
\(144\) 969.470 + 466.872i 0.561036 + 0.270181i
\(145\) 2412.26 3024.88i 1.38157 1.73243i
\(146\) 1660.61 0.941322
\(147\) 2221.08 + 44.2577i 1.24620 + 0.0248321i
\(148\) −37.5962 −0.0208810
\(149\) −1276.44 + 1600.60i −0.701811 + 0.880043i −0.997157 0.0753475i \(-0.975993\pi\)
0.295347 + 0.955390i \(0.404565\pi\)
\(150\) −1272.95 613.022i −0.692909 0.333687i
\(151\) −117.980 516.906i −0.0635835 0.278577i 0.933135 0.359527i \(-0.117062\pi\)
−0.996718 + 0.0809494i \(0.974205\pi\)
\(152\) 648.590 + 312.345i 0.346103 + 0.166674i
\(153\) 239.756 115.461i 0.126687 0.0610093i
\(154\) −91.0642 + 42.7420i −0.0476504 + 0.0223652i
\(155\) −1475.50 710.562i −0.764611 0.368217i
\(156\) 148.687 + 186.448i 0.0763110 + 0.0956909i
\(157\) 2313.95 1114.34i 1.17626 0.566459i 0.259444 0.965758i \(-0.416461\pi\)
0.916821 + 0.399299i \(0.130746\pi\)
\(158\) 368.757 462.407i 0.185676 0.232830i
\(159\) −591.588 + 2591.91i −0.295069 + 1.29278i
\(160\) −459.424 + 576.099i −0.227004 + 0.284654i
\(161\) −3342.18 + 1568.69i −1.63603 + 0.767887i
\(162\) −1716.42 2152.33i −0.832439 1.04384i
\(163\) −521.543 + 251.162i −0.250616 + 0.120690i −0.554975 0.831867i \(-0.687272\pi\)
0.304359 + 0.952557i \(0.401558\pi\)
\(164\) −84.9381 + 372.138i −0.0404424 + 0.177190i
\(165\) 163.084 0.0769459
\(166\) 3893.00 1.82022
\(167\) 96.4044 422.375i 0.0446706 0.195715i −0.947669 0.319255i \(-0.896567\pi\)
0.992340 + 0.123540i \(0.0394246\pi\)
\(168\) −1566.22 + 1924.33i −0.719264 + 0.883723i
\(169\) 268.076 + 1174.52i 0.122019 + 0.534600i
\(170\) 168.378 + 737.713i 0.0759648 + 0.332823i
\(171\) 324.357 + 406.731i 0.145054 + 0.181892i
\(172\) −328.335 411.719i −0.145554 0.182519i
\(173\) 309.958 + 1358.01i 0.136218 + 0.596809i 0.996246 + 0.0865631i \(0.0275884\pi\)
−0.860029 + 0.510246i \(0.829554\pi\)
\(174\) −1202.82 5269.88i −0.524053 2.29603i
\(175\) 842.239 1034.82i 0.363813 0.446999i
\(176\) 28.7334 125.889i 0.0123060 0.0539163i
\(177\) −5417.65 −2.30065
\(178\) −1838.99 −0.774372
\(179\) −1009.14 + 4421.32i −0.421377 + 1.84617i 0.102993 + 0.994682i \(0.467158\pi\)
−0.524370 + 0.851491i \(0.675699\pi\)
\(180\) −220.976 + 106.416i −0.0915033 + 0.0440657i
\(181\) 1172.81 + 1470.66i 0.481625 + 0.603939i 0.961975 0.273138i \(-0.0880616\pi\)
−0.480349 + 0.877077i \(0.659490\pi\)
\(182\) −1599.15 + 750.578i −0.651301 + 0.305695i
\(183\) −29.1448 + 36.5464i −0.0117729 + 0.0147628i
\(184\) 917.564 4020.11i 0.367629 1.61069i
\(185\) −281.502 + 352.993i −0.111873 + 0.140284i
\(186\) −2061.45 + 992.741i −0.812649 + 0.391351i
\(187\) −19.9105 24.9669i −0.00778608 0.00976344i
\(188\) 384.075 + 184.961i 0.148997 + 0.0717534i
\(189\) 1308.66 614.235i 0.503658 0.236397i
\(190\) −1332.78 + 641.834i −0.508895 + 0.245071i
\(191\) 1523.77 + 733.808i 0.577257 + 0.277992i 0.699646 0.714490i \(-0.253341\pi\)
−0.122389 + 0.992482i \(0.539055\pi\)
\(192\) −600.879 2632.62i −0.225858 0.989549i
\(193\) −446.929 215.230i −0.166687 0.0802725i 0.348680 0.937242i \(-0.386630\pi\)
−0.515367 + 0.856970i \(0.672344\pi\)
\(194\) 1256.93 1576.14i 0.465165 0.583299i
\(195\) 2863.86 1.05172
\(196\) 243.680 + 318.376i 0.0888046 + 0.116026i
\(197\) 210.936 0.0762870 0.0381435 0.999272i \(-0.487856\pi\)
0.0381435 + 0.999272i \(0.487856\pi\)
\(198\) 50.6229 63.4791i 0.0181698 0.0227842i
\(199\) 4094.70 + 1971.90i 1.45862 + 0.702434i 0.984068 0.177793i \(-0.0568957\pi\)
0.474552 + 0.880227i \(0.342610\pi\)
\(200\) 331.596 + 1452.82i 0.117237 + 0.513649i
\(201\) −3916.00 1885.85i −1.37420 0.661778i
\(202\) −1095.41 + 527.523i −0.381549 + 0.183744i
\(203\) 5104.34 + 50.8501i 1.76480 + 0.0175812i
\(204\) 121.427 + 58.4760i 0.0416743 + 0.0200693i
\(205\) 2858.05 + 3583.88i 0.973730 + 1.22102i
\(206\) −2021.62 + 973.562i −0.683753 + 0.329278i
\(207\) 1857.93 2329.77i 0.623840 0.782271i
\(208\) 504.578 2210.70i 0.168203 0.736945i
\(209\) 38.9239 48.8090i 0.0128824 0.0161540i
\(210\) −1084.95 4981.71i −0.356517 1.63700i
\(211\) −3471.02 4352.53i −1.13249 1.42010i −0.893494 0.449075i \(-0.851754\pi\)
−0.238995 0.971021i \(-0.576818\pi\)
\(212\) −432.289 + 208.179i −0.140046 + 0.0674426i
\(213\) −1034.27 + 4531.42i −0.332708 + 1.45769i
\(214\) −746.825 −0.238560
\(215\) −6324.06 −2.00604
\(216\) −359.282 + 1574.12i −0.113176 + 0.495856i
\(217\) −459.794 2111.22i −0.143838 0.660455i
\(218\) 299.609 + 1312.67i 0.0930831 + 0.407824i
\(219\) −790.380 3462.88i −0.243876 1.06849i
\(220\) 18.3509 + 23.0113i 0.00562371 + 0.00705191i
\(221\) −349.641 438.436i −0.106423 0.133450i
\(222\) 140.365 + 614.977i 0.0424354 + 0.185921i
\(223\) −869.648 3810.17i −0.261148 1.14416i −0.920009 0.391898i \(-0.871819\pi\)
0.658861 0.752264i \(-0.271038\pi\)
\(224\) −972.142 9.68459i −0.289973 0.00288875i
\(225\) −239.631 + 1049.89i −0.0710019 + 0.311079i
\(226\) −2090.64 −0.615343
\(227\) 869.923 0.254356 0.127178 0.991880i \(-0.459408\pi\)
0.127178 + 0.991880i \(0.459408\pi\)
\(228\) −58.6286 + 256.869i −0.0170297 + 0.0746120i
\(229\) −409.049 + 196.988i −0.118038 + 0.0568441i −0.491971 0.870612i \(-0.663723\pi\)
0.373933 + 0.927456i \(0.378009\pi\)
\(230\) 5283.03 + 6624.71i 1.51458 + 1.89922i
\(231\) 132.473 + 169.553i 0.0377319 + 0.0482935i
\(232\) −3554.62 + 4457.36i −1.00592 + 1.26138i
\(233\) −142.325 + 623.566i −0.0400172 + 0.175327i −0.990987 0.133956i \(-0.957232\pi\)
0.950970 + 0.309283i \(0.100089\pi\)
\(234\) 888.972 1114.74i 0.248350 0.311421i
\(235\) 4612.36 2221.20i 1.28033 0.616574i
\(236\) −609.617 764.435i −0.168147 0.210850i
\(237\) −1139.77 548.886i −0.312389 0.150439i
\(238\) −630.204 + 774.300i −0.171639 + 0.210884i
\(239\) 4137.87 1992.69i 1.11990 0.539316i 0.220039 0.975491i \(-0.429381\pi\)
0.899862 + 0.436175i \(0.143667\pi\)
\(240\) 5896.39 + 2839.55i 1.58588 + 0.763718i
\(241\) 429.263 + 1880.72i 0.114735 + 0.502689i 0.999339 + 0.0363456i \(0.0115717\pi\)
−0.884604 + 0.466343i \(0.845571\pi\)
\(242\) 3622.39 + 1744.45i 0.962214 + 0.463378i
\(243\) −2357.28 + 2955.94i −0.622304 + 0.780344i
\(244\) −8.43621 −0.00221341
\(245\) 4813.80 + 95.9208i 1.25527 + 0.0250129i
\(246\) 6404.33 1.65986
\(247\) 683.529 857.118i 0.176081 0.220798i
\(248\) 2174.24 + 1047.06i 0.556712 + 0.268098i
\(249\) −1852.91 8118.11i −0.471579 2.06612i
\(250\) 2028.03 + 976.650i 0.513056 + 0.247075i
\(251\) 1389.25 669.027i 0.349357 0.168242i −0.250972 0.967994i \(-0.580750\pi\)
0.600330 + 0.799753i \(0.295036\pi\)
\(252\) −290.136 143.300i −0.0725273 0.0358217i
\(253\) −322.182 155.155i −0.0800609 0.0385553i
\(254\) 1449.94 + 1818.16i 0.358177 + 0.449140i
\(255\) 1458.22 702.240i 0.358106 0.172455i
\(256\) 1096.68 1375.20i 0.267745 0.335742i
\(257\) −542.083 + 2375.02i −0.131573 + 0.576458i 0.865561 + 0.500803i \(0.166962\pi\)
−0.997134 + 0.0756549i \(0.975895\pi\)
\(258\) −5508.83 + 6907.86i −1.32932 + 1.66692i
\(259\) −595.659 5.93403i −0.142905 0.00142364i
\(260\) 322.254 + 404.094i 0.0768667 + 0.0963878i
\(261\) −3712.00 + 1787.60i −0.880333 + 0.423946i
\(262\) 725.800 3179.94i 0.171145 0.749836i
\(263\) −1630.23 −0.382223 −0.191111 0.981568i \(-0.561209\pi\)
−0.191111 + 0.981568i \(0.561209\pi\)
\(264\) −240.315 −0.0560242
\(265\) −1282.16 + 5617.52i −0.297218 + 1.30220i
\(266\) −1749.91 864.292i −0.403360 0.199222i
\(267\) 875.282 + 3834.86i 0.200623 + 0.878987i
\(268\) −174.550 764.754i −0.0397849 0.174309i
\(269\) −3007.54 3771.34i −0.681684 0.854805i 0.313824 0.949481i \(-0.398390\pi\)
−0.995508 + 0.0946761i \(0.969818\pi\)
\(270\) −2068.63 2593.97i −0.466269 0.584682i
\(271\) −1359.56 5956.61i −0.304750 1.33520i −0.862865 0.505434i \(-0.831333\pi\)
0.558115 0.829763i \(-0.311525\pi\)
\(272\) −285.160 1249.37i −0.0635674 0.278507i
\(273\) 2326.31 + 2977.47i 0.515732 + 0.660091i
\(274\) −630.558 + 2762.65i −0.139027 + 0.609117i
\(275\) 129.230 0.0283378
\(276\) 1509.19 0.329139
\(277\) 1719.29 7532.69i 0.372931 1.63392i −0.345569 0.938393i \(-0.612314\pi\)
0.718501 0.695526i \(-0.244829\pi\)
\(278\) −6604.67 + 3180.64i −1.42490 + 0.686194i
\(279\) 1087.33 + 1363.47i 0.233322 + 0.292576i
\(280\) −3394.50 + 4170.66i −0.724502 + 0.890159i
\(281\) 3222.89 4041.37i 0.684204 0.857965i −0.311530 0.950236i \(-0.600841\pi\)
0.995734 + 0.0922714i \(0.0294127\pi\)
\(282\) 1591.54 6973.01i 0.336082 1.47247i
\(283\) −1821.87 + 2284.55i −0.382681 + 0.479867i −0.935446 0.353470i \(-0.885001\pi\)
0.552764 + 0.833338i \(0.313573\pi\)
\(284\) −755.767 + 363.958i −0.157910 + 0.0760456i
\(285\) 1972.77 + 2473.77i 0.410023 + 0.514153i
\(286\) −154.156 74.2376i −0.0318722 0.0153488i
\(287\) −1404.46 + 5882.60i −0.288860 + 1.20989i
\(288\) 706.964 340.456i 0.144647 0.0696582i
\(289\) 4140.92 + 1994.16i 0.842850 + 0.405895i
\(290\) −2606.90 11421.6i −0.527870 2.31275i
\(291\) −3884.97 1870.90i −0.782615 0.376888i
\(292\) 399.678 501.181i 0.0801007 0.100443i
\(293\) −4559.33 −0.909076 −0.454538 0.890727i \(-0.650196\pi\)
−0.454538 + 0.890727i \(0.650196\pi\)
\(294\) 4298.03 5174.62i 0.852606 1.02650i
\(295\) −11741.8 −2.31741
\(296\) 414.812 520.158i 0.0814543 0.102141i
\(297\) 126.154 + 60.7524i 0.0246471 + 0.0118694i
\(298\) 1379.43 + 6043.67i 0.268148 + 1.17483i
\(299\) −5657.73 2724.62i −1.09430 0.526986i
\(300\) −491.390 + 236.641i −0.0945681 + 0.0455416i
\(301\) −5137.03 6574.94i −0.983698 1.25905i
\(302\) −1446.46 696.579i −0.275611 0.132727i
\(303\) 1621.42 + 2033.19i 0.307419 + 0.385491i
\(304\) 2257.15 1086.99i 0.425844 0.205076i
\(305\) −63.1662 + 79.2079i −0.0118586 + 0.0148703i
\(306\) 179.304 785.581i 0.0334971 0.146760i
\(307\) −1184.65 + 1485.50i −0.220232 + 0.276163i −0.879658 0.475607i \(-0.842228\pi\)
0.659425 + 0.751770i \(0.270800\pi\)
\(308\) −9.01774 + 37.7709i −0.00166829 + 0.00698765i
\(309\) 2992.38 + 3752.33i 0.550908 + 0.690817i
\(310\) −4467.83 + 2151.59i −0.818566 + 0.394201i
\(311\) 784.563 3437.39i 0.143050 0.626742i −0.851667 0.524083i \(-0.824408\pi\)
0.994717 0.102658i \(-0.0327349\pi\)
\(312\) −4220.10 −0.765756
\(313\) 9110.74 1.64527 0.822635 0.568570i \(-0.192503\pi\)
0.822635 + 0.568570i \(0.192503\pi\)
\(314\) 1730.51 7581.86i 0.311014 1.36264i
\(315\) −3517.85 + 1651.14i −0.629233 + 0.295337i
\(316\) −50.8037 222.586i −0.00904409 0.0396247i
\(317\) −298.650 1308.47i −0.0529143 0.231833i 0.941555 0.336859i \(-0.109365\pi\)
−0.994469 + 0.105026i \(0.966507\pi\)
\(318\) 5019.22 + 6293.90i 0.885106 + 1.10989i
\(319\) 308.262 + 386.548i 0.0541045 + 0.0678449i
\(320\) −1302.30 5705.76i −0.227503 0.996755i
\(321\) 355.457 + 1557.36i 0.0618059 + 0.270789i
\(322\) −2596.12 + 10873.9i −0.449304 + 1.88191i
\(323\) 137.866 604.032i 0.0237495 0.104053i
\(324\) −1062.70 −0.182218
\(325\) 2269.37 0.387330
\(326\) −390.040 + 1708.88i −0.0662649 + 0.290325i
\(327\) 2594.73 1249.56i 0.438804 0.211317i
\(328\) −4211.52 5281.08i −0.708971 0.889021i
\(329\) 6055.93 + 2991.06i 1.01481 + 0.501223i
\(330\) 307.892 386.085i 0.0513604 0.0644039i
\(331\) −1249.54 + 5474.61i −0.207496 + 0.909099i 0.758731 + 0.651404i \(0.225820\pi\)
−0.966227 + 0.257694i \(0.917037\pi\)
\(332\) 936.975 1174.93i 0.154889 0.194225i
\(333\) 433.178 208.607i 0.0712852 0.0343292i
\(334\) −817.925 1025.65i −0.133997 0.168026i
\(335\) −8487.25 4087.24i −1.38420 0.666597i
\(336\) 1837.43 + 8436.86i 0.298334 + 1.36985i
\(337\) 6599.53 3178.17i 1.06676 0.513726i 0.183702 0.982982i \(-0.441192\pi\)
0.883062 + 0.469256i \(0.155478\pi\)
\(338\) 3286.66 + 1582.77i 0.528907 + 0.254708i
\(339\) 995.058 + 4359.63i 0.159422 + 0.698474i
\(340\) 263.171 + 126.737i 0.0419778 + 0.0202155i
\(341\) 130.483 163.620i 0.0207215 0.0259840i
\(342\) 1575.26 0.249065
\(343\) 3810.51 + 5082.68i 0.599850 + 0.800113i
\(344\) 9318.93 1.46059
\(345\) 11300.1 14169.8i 1.76341 2.21124i
\(346\) 3800.14 + 1830.05i 0.590454 + 0.284348i
\(347\) 1564.72 + 6855.47i 0.242070 + 1.06058i 0.939129 + 0.343565i \(0.111635\pi\)
−0.697059 + 0.717014i \(0.745508\pi\)
\(348\) −1879.97 905.348i −0.289590 0.139459i
\(349\) 2523.23 1215.12i 0.387007 0.186373i −0.230255 0.973130i \(-0.573956\pi\)
0.617262 + 0.786758i \(0.288242\pi\)
\(350\) −859.730 3947.59i −0.131299 0.602878i
\(351\) 2215.34 + 1066.85i 0.336884 + 0.162235i
\(352\) −58.7096 73.6195i −0.00888986 0.0111475i
\(353\) −2118.82 + 1020.37i −0.319472 + 0.153850i −0.586746 0.809771i \(-0.699591\pi\)
0.267274 + 0.963621i \(0.413877\pi\)
\(354\) −10228.2 + 12825.7i −1.53566 + 1.92565i
\(355\) −2241.59 + 9821.07i −0.335131 + 1.46830i
\(356\) −442.611 + 555.017i −0.0658943 + 0.0826288i
\(357\) 1914.60 + 945.635i 0.283842 + 0.140191i
\(358\) 8561.84 + 10736.2i 1.26399 + 1.58499i
\(359\) −3649.67 + 1757.59i −0.536553 + 0.258390i −0.682479 0.730905i \(-0.739098\pi\)
0.145926 + 0.989295i \(0.453384\pi\)
\(360\) 965.794 4231.42i 0.141394 0.619487i
\(361\) −5647.78 −0.823412
\(362\) 5695.82 0.826977
\(363\) 1913.61 8384.07i 0.276690 1.21226i
\(364\) −158.358 + 663.282i −0.0228027 + 0.0955094i
\(365\) −1713.01 7505.19i −0.245652 1.07627i
\(366\) 31.4964 + 137.995i 0.00449820 + 0.0197079i
\(367\) −5508.39 6907.31i −0.783476 0.982448i −0.999981 0.00616668i \(-0.998037\pi\)
0.216505 0.976282i \(-0.430534\pi\)
\(368\) −8947.17 11219.4i −1.26740 1.58927i
\(369\) −1086.21 4759.00i −0.153241 0.671393i
\(370\) 304.216 + 1332.86i 0.0427444 + 0.187275i
\(371\) −6881.87 + 3230.08i −0.963043 + 0.452014i
\(372\) −196.538 + 861.090i −0.0273926 + 0.120015i
\(373\) 2260.81 0.313835 0.156917 0.987612i \(-0.449844\pi\)
0.156917 + 0.987612i \(0.449844\pi\)
\(374\) −96.6964 −0.0133691
\(375\) 1071.36 4693.92i 0.147532 0.646381i
\(376\) −6796.63 + 3273.08i −0.932206 + 0.448927i
\(377\) 5413.28 + 6788.04i 0.739518 + 0.927326i
\(378\) 1016.54 4257.77i 0.138320 0.579354i
\(379\) −2084.99 + 2614.50i −0.282583 + 0.354348i −0.902783 0.430096i \(-0.858480\pi\)
0.620200 + 0.784443i \(0.287051\pi\)
\(380\) −127.067 + 556.718i −0.0171537 + 0.0751553i
\(381\) 3101.32 3888.93i 0.417022 0.522929i
\(382\) 4614.00 2221.98i 0.617991 0.297609i
\(383\) 648.575 + 813.288i 0.0865291 + 0.108504i 0.823211 0.567735i \(-0.192180\pi\)
−0.736682 + 0.676239i \(0.763609\pi\)
\(384\) −9817.42 4727.82i −1.30467 0.628296i
\(385\) 287.112 + 367.478i 0.0380067 + 0.0486452i
\(386\) −1353.31 + 651.720i −0.178450 + 0.0859369i
\(387\) 6067.50 + 2921.95i 0.796972 + 0.383802i
\(388\) −173.167 758.694i −0.0226578 0.0992703i
\(389\) 8242.59 + 3969.42i 1.07433 + 0.517372i 0.885501 0.464637i \(-0.153815\pi\)
0.188833 + 0.982009i \(0.439529\pi\)
\(390\) 5406.80 6779.91i 0.702010 0.880293i
\(391\) −3548.89 −0.459015
\(392\) −7093.45 141.346i −0.913963 0.0182118i
\(393\) −6976.59 −0.895477
\(394\) 398.233 499.369i 0.0509206 0.0638524i
\(395\) −2470.26 1189.61i −0.314664 0.151534i
\(396\) −6.97432 30.5565i −0.000885033 0.00387758i
\(397\) 7843.72 + 3777.33i 0.991599 + 0.477529i 0.858079 0.513517i \(-0.171658\pi\)
0.133520 + 0.991046i \(0.457372\pi\)
\(398\) 12398.8 5970.95i 1.56155 0.752002i
\(399\) −969.430 + 4060.47i −0.121635 + 0.509468i
\(400\) 4672.39 + 2250.11i 0.584049 + 0.281263i
\(401\) 3191.00 + 4001.39i 0.397384 + 0.498304i 0.939761 0.341831i \(-0.111047\pi\)
−0.542377 + 0.840135i \(0.682476\pi\)
\(402\) −11857.7 + 5710.37i −1.47117 + 0.708476i
\(403\) 2291.37 2873.28i 0.283229 0.355157i
\(404\) −104.437 + 457.566i −0.0128612 + 0.0563484i
\(405\) −7956.95 + 9977.70i −0.976256 + 1.22419i
\(406\) 9757.07 11988.0i 1.19270 1.46541i
\(407\) −35.9731 45.1088i −0.00438113 0.00549376i
\(408\) −2148.78 + 1034.80i −0.260736 + 0.125564i
\(409\) −195.271 + 855.539i −0.0236077 + 0.103432i −0.985359 0.170492i \(-0.945464\pi\)
0.961751 + 0.273924i \(0.0883215\pi\)
\(410\) 13880.3 1.67195
\(411\) 6061.10 0.727426
\(412\) −192.741 + 844.455i −0.0230478 + 0.100979i
\(413\) −9537.86 12207.6i −1.13639 1.45447i
\(414\) −2007.84 8796.91i −0.238357 1.04431i
\(415\) −4015.85 17594.6i −0.475013 2.08117i
\(416\) −1030.98 1292.81i −0.121509 0.152368i
\(417\) 9776.15 + 12258.9i 1.14806 + 1.43962i
\(418\) −42.0645 184.297i −0.00492211 0.0215652i
\(419\) 1519.21 + 6656.09i 0.177132 + 0.776065i 0.982946 + 0.183896i \(0.0588711\pi\)
−0.805814 + 0.592169i \(0.798272\pi\)
\(420\) −1764.63 871.563i −0.205013 0.101257i
\(421\) −1302.16 + 5705.14i −0.150744 + 0.660455i 0.841925 + 0.539595i \(0.181422\pi\)
−0.992670 + 0.120860i \(0.961435\pi\)
\(422\) −16857.2 −1.94454
\(423\) −5451.52 −0.626624
\(424\) 1889.35 8277.80i 0.216404 0.948126i
\(425\) 1155.51 556.466i 0.131884 0.0635120i
\(426\) 8775.05 + 11003.6i 0.998011 + 1.25147i
\(427\) −133.660 1.33154i −0.0151481 0.000150908i
\(428\) −179.747 + 225.396i −0.0203000 + 0.0254554i
\(429\) −81.4365 + 356.797i −0.00916501 + 0.0401546i
\(430\) −11939.4 + 14971.6i −1.33900 + 1.67906i
\(431\) 1289.29 620.892i 0.144091 0.0693905i −0.360449 0.932779i \(-0.617376\pi\)
0.504540 + 0.863388i \(0.331662\pi\)
\(432\) 3503.36 + 4393.07i 0.390174 + 0.489263i
\(433\) −5359.96 2581.22i −0.594881 0.286479i 0.112117 0.993695i \(-0.464237\pi\)
−0.706998 + 0.707216i \(0.749951\pi\)
\(434\) −5866.15 2897.33i −0.648812 0.320452i
\(435\) −22576.7 + 10872.4i −2.48843 + 1.19837i
\(436\) 468.283 + 225.513i 0.0514373 + 0.0247709i
\(437\) −1543.82 6763.93i −0.168996 0.740418i
\(438\) −9690.21 4666.56i −1.05711 0.509079i
\(439\) −3444.79 + 4319.62i −0.374512 + 0.469623i −0.932993 0.359894i \(-0.882813\pi\)
0.558481 + 0.829517i \(0.311384\pi\)
\(440\) −520.841 −0.0564321
\(441\) −4574.19 2316.18i −0.493919 0.250101i
\(442\) −1698.05 −0.182733
\(443\) 2537.14 3181.47i 0.272106 0.341211i −0.626937 0.779070i \(-0.715692\pi\)
0.899044 + 0.437859i \(0.144263\pi\)
\(444\) 219.387 + 105.651i 0.0234496 + 0.0112927i
\(445\) 1897.02 + 8311.39i 0.202084 + 0.885388i
\(446\) −10662.0 5134.57i −1.13198 0.545132i
\(447\) 11946.4 5753.06i 1.26408 0.608748i
\(448\) 4874.24 5988.74i 0.514032 0.631565i
\(449\) 7445.13 + 3585.39i 0.782533 + 0.376848i 0.782101 0.623152i \(-0.214148\pi\)
0.000432243 1.00000i \(0.499862\pi\)
\(450\) 2033.11 + 2549.44i 0.212981 + 0.267070i
\(451\) −527.771 + 254.161i −0.0551037 + 0.0265365i
\(452\) −503.180 + 630.967i −0.0523619 + 0.0656597i
\(453\) −764.127 + 3347.86i −0.0792535 + 0.347232i
\(454\) 1642.36 2059.46i 0.169779 0.212897i
\(455\) 5041.88 + 6453.16i 0.519488 + 0.664898i
\(456\) −2907.00 3645.27i −0.298537 0.374354i
\(457\) −8602.51 + 4142.75i −0.880544 + 0.424048i −0.818823 0.574046i \(-0.805373\pi\)
−0.0617208 + 0.998093i \(0.519659\pi\)
\(458\) −305.911 + 1340.28i −0.0312102 + 0.136741i
\(459\) 1389.60 0.141310
\(460\) 3270.90 0.331536
\(461\) 586.352 2568.98i 0.0592389 0.259543i −0.936633 0.350312i \(-0.886076\pi\)
0.995872 + 0.0907695i \(0.0289326\pi\)
\(462\) 651.501 + 6.49033i 0.0656073 + 0.000653588i
\(463\) −2191.34 9600.87i −0.219957 0.963694i −0.957509 0.288404i \(-0.906875\pi\)
0.737552 0.675290i \(-0.235982\pi\)
\(464\) 4414.95 + 19343.2i 0.441722 + 1.93531i
\(465\) 6613.23 + 8292.73i 0.659529 + 0.827024i
\(466\) 1207.53 + 1514.19i 0.120038 + 0.150523i
\(467\) −317.813 1392.43i −0.0314917 0.137974i 0.956738 0.290950i \(-0.0939714\pi\)
−0.988230 + 0.152976i \(0.951114\pi\)
\(468\) −122.474 536.593i −0.0120969 0.0530000i
\(469\) −2644.79 12144.0i −0.260395 1.19564i
\(470\) 3449.40 15112.8i 0.338529 1.48319i
\(471\) −16634.1 −1.62731
\(472\) 17302.4 1.68730
\(473\) 179.830 787.888i 0.0174812 0.0765901i
\(474\) −3451.25 + 1662.03i −0.334433 + 0.161054i
\(475\) 1563.25 + 1960.26i 0.151004 + 0.189353i
\(476\) 82.0093 + 376.559i 0.00789683 + 0.0362595i
\(477\) 3825.65 4797.22i 0.367221 0.460481i
\(478\) 3094.54 13558.1i 0.296111 1.29735i
\(479\) −9478.98 + 11886.3i −0.904187 + 1.13381i 0.0863085 + 0.996268i \(0.472493\pi\)
−0.990495 + 0.137546i \(0.956078\pi\)
\(480\) 4299.81 2070.68i 0.408872 0.196903i
\(481\) −631.711 792.141i −0.0598827 0.0750905i
\(482\) 5262.84 + 2534.45i 0.497336 + 0.239504i
\(483\) 23911.0 + 238.204i 2.25256 + 0.0224403i
\(484\) 1398.33 673.399i 0.131323 0.0632418i
\(485\) −8420.00 4054.86i −0.788315 0.379632i
\(486\) 2547.48 + 11161.3i 0.237770 + 1.04174i
\(487\) −5089.24 2450.85i −0.473543 0.228046i 0.181862 0.983324i \(-0.441788\pi\)
−0.655405 + 0.755278i \(0.727502\pi\)
\(488\) 93.0796 116.718i 0.00863426 0.0108270i
\(489\) 3749.18 0.346715
\(490\) 9315.23 11215.1i 0.858815 1.03397i
\(491\) 2873.85 0.264144 0.132072 0.991240i \(-0.457837\pi\)
0.132072 + 0.991240i \(0.457837\pi\)
\(492\) 1541.41 1932.86i 0.141244 0.177114i
\(493\) 4420.80 + 2128.94i 0.403860 + 0.194489i
\(494\) −738.681 3236.37i −0.0672770 0.294760i
\(495\) −339.117 163.310i −0.0307922 0.0148288i
\(496\) 7566.57 3643.87i 0.684978 0.329868i
\(497\) −12031.5 + 5647.12i −1.08589 + 0.509674i
\(498\) −22717.0 10939.9i −2.04412 0.984396i
\(499\) 10527.8 + 13201.5i 0.944469 + 1.18433i 0.982728 + 0.185059i \(0.0592475\pi\)
−0.0382587 + 0.999268i \(0.512181\pi\)
\(500\) 782.869 377.010i 0.0700219 0.0337208i
\(501\) −1749.49 + 2193.79i −0.156011 + 0.195631i
\(502\) 1038.96 4551.99i 0.0923728 0.404712i
\(503\) 7307.20 9162.93i 0.647737 0.812237i −0.344210 0.938893i \(-0.611853\pi\)
0.991947 + 0.126656i \(0.0404245\pi\)
\(504\) 5183.79 2433.07i 0.458143 0.215035i
\(505\) 3514.14 + 4406.59i 0.309658 + 0.388298i
\(506\) −975.572 + 469.811i −0.0857104 + 0.0412760i
\(507\) 1736.25 7607.03i 0.152090 0.666351i
\(508\) 897.704 0.0784039
\(509\) −15726.4 −1.36947 −0.684734 0.728793i \(-0.740082\pi\)
−0.684734 + 0.728793i \(0.740082\pi\)
\(510\) 1090.54 4777.97i 0.0946861 0.414847i
\(511\) 6411.44 7877.42i 0.555040 0.681950i
\(512\) 1809.80 + 7929.25i 0.156216 + 0.684427i
\(513\) 604.499 + 2648.48i 0.0520259 + 0.227940i
\(514\) 4599.20 + 5767.22i 0.394673 + 0.494905i
\(515\) 6485.47 + 8132.52i 0.554920 + 0.695848i
\(516\) 758.953 + 3325.19i 0.0647501 + 0.283689i
\(517\) 145.573 + 637.796i 0.0123835 + 0.0542558i
\(518\) −1138.62 + 1398.96i −0.0965790 + 0.118662i
\(519\) 2007.51 8795.49i 0.169788 0.743891i
\(520\) −9146.33 −0.771332
\(521\) 20419.7 1.71709 0.858544 0.512741i \(-0.171370\pi\)
0.858544 + 0.512741i \(0.171370\pi\)
\(522\) −2776.05 + 12162.7i −0.232767 + 1.01982i
\(523\) −81.5459 + 39.2704i −0.00681788 + 0.00328332i −0.437290 0.899321i \(-0.644062\pi\)
0.430472 + 0.902604i \(0.358347\pi\)
\(524\) −785.035 984.402i −0.0654473 0.0820684i
\(525\) −7822.73 + 3671.68i −0.650309 + 0.305229i
\(526\) −3077.78 + 3859.41i −0.255128 + 0.319921i
\(527\) 462.164 2024.87i 0.0382015 0.167371i
\(528\) −521.437 + 653.861i −0.0429784 + 0.0538933i
\(529\) −24842.7 + 11963.6i −2.04181 + 0.983284i
\(530\) 10878.3 + 13640.9i 0.891551 + 1.11797i
\(531\) 11265.5 + 5425.16i 0.920677 + 0.443375i
\(532\) −682.019 + 320.113i −0.0555814 + 0.0260877i
\(533\) −9268.01 + 4463.24i −0.753175 + 0.362710i
\(534\) 10731.1 + 5167.83i 0.869627 + 0.418790i
\(535\) 770.392 + 3375.31i 0.0622560 + 0.272761i
\(536\) 12506.5 + 6022.83i 1.00784 + 0.485348i
\(537\) 18313.2 22964.0i 1.47164 1.84538i
\(538\) −14606.3 −1.17049
\(539\) −148.835 + 597.003i −0.0118938 + 0.0477082i
\(540\) −1280.76 −0.102065
\(541\) −11930.9 + 14960.9i −0.948154 + 1.18895i 0.0337242 + 0.999431i \(0.489263\pi\)
−0.981878 + 0.189516i \(0.939308\pi\)
\(542\) −16668.4 8027.10i −1.32098 0.636150i
\(543\) −2710.97 11877.5i −0.214252 0.938699i
\(544\) −841.958 405.465i −0.0663578 0.0319562i
\(545\) 5623.62 2708.19i 0.441999 0.212856i
\(546\) 11440.8 + 113.975i 0.896742 + 0.00893345i
\(547\) 9591.88 + 4619.21i 0.749761 + 0.361066i 0.769422 0.638741i \(-0.220544\pi\)
−0.0196609 + 0.999807i \(0.506259\pi\)
\(548\) 682.020 + 855.226i 0.0531651 + 0.0666669i
\(549\) 97.2006 46.8093i 0.00755632 0.00363893i
\(550\) 243.979 305.940i 0.0189151 0.0237188i
\(551\) −2134.50 + 9351.85i −0.165032 + 0.723053i
\(552\) −16651.4 + 20880.2i −1.28393 + 1.61000i
\(553\) −769.781 3534.57i −0.0591943 0.271800i
\(554\) −14587.0 18291.5i −1.11867 1.40276i
\(555\) 2634.62 1268.77i 0.201502 0.0970381i
\(556\) −629.688 + 2758.84i −0.0480301 + 0.210434i
\(557\) −3131.20 −0.238192 −0.119096 0.992883i \(-0.538000\pi\)
−0.119096 + 0.992883i \(0.538000\pi\)
\(558\) 5280.69 0.400626
\(559\) 3157.94 13835.8i 0.238939 1.04686i
\(560\) 3982.31 + 18285.4i 0.300506 + 1.37982i
\(561\) 46.0234 + 201.642i 0.00346365 + 0.0151753i
\(562\) −3482.93 15259.7i −0.261421 1.14536i
\(563\) −12576.5 15770.4i −0.941450 1.18054i −0.983405 0.181421i \(-0.941930\pi\)
0.0419556 0.999119i \(-0.486641\pi\)
\(564\) −1721.44 2158.61i −0.128520 0.161160i
\(565\) 2156.62 + 9448.75i 0.160583 + 0.703561i
\(566\) 1968.87 + 8626.17i 0.146215 + 0.640610i
\(567\) −16836.9 167.731i −1.24706 0.0124234i
\(568\) 3303.14 14472.0i 0.244008 1.06907i
\(569\) −1181.07 −0.0870180 −0.0435090 0.999053i \(-0.513854\pi\)
−0.0435090 + 0.999053i \(0.513854\pi\)
\(570\) 9580.87 0.704032
\(571\) 341.655 1496.89i 0.0250400 0.109707i −0.960864 0.277022i \(-0.910652\pi\)
0.985904 + 0.167315i \(0.0535096\pi\)
\(572\) −59.5078 + 28.6575i −0.00434991 + 0.00209481i
\(573\) −6829.59 8564.03i −0.497923 0.624376i
\(574\) 11274.9 + 14430.9i 0.819872 + 1.04936i
\(575\) 8954.35 11228.4i 0.649430 0.814359i
\(576\) −1386.80 + 6075.99i −0.100319 + 0.439525i
\(577\) 7192.90 9019.61i 0.518968 0.650765i −0.451422 0.892311i \(-0.649083\pi\)
0.970389 + 0.241546i \(0.0776544\pi\)
\(578\) 12538.8 6038.36i 0.902326 0.434537i
\(579\) 2003.15 + 2511.87i 0.143779 + 0.180294i
\(580\) −4074.52 1962.18i −0.291699 0.140475i
\(581\) 15030.5 18467.2i 1.07327 1.31867i
\(582\) −11763.8 + 5665.13i −0.837841 + 0.403483i
\(583\) −663.404 319.478i −0.0471276 0.0226954i
\(584\) 2524.24 + 11059.4i 0.178859 + 0.783632i
\(585\) −5955.12 2867.83i −0.420878 0.202684i
\(586\) −8607.74 + 10793.8i −0.606796 + 0.760898i
\(587\) 5318.47 0.373964 0.186982 0.982363i \(-0.440129\pi\)
0.186982 + 0.982363i \(0.440129\pi\)
\(588\) −527.270 2542.60i −0.0369800 0.178325i
\(589\) 4060.31 0.284044
\(590\) −22167.8 + 27797.6i −1.54684 + 1.93967i
\(591\) −1230.88 592.760i −0.0856711 0.0412570i
\(592\) −515.210 2257.28i −0.0357686 0.156712i
\(593\) 1847.83 + 889.867i 0.127962 + 0.0616230i 0.496769 0.867883i \(-0.334520\pi\)
−0.368808 + 0.929506i \(0.620234\pi\)
\(594\) 381.995 183.959i 0.0263863 0.0127070i
\(595\) 4149.57 + 2049.50i 0.285909 + 0.141212i
\(596\) 2156.01 + 1038.28i 0.148178 + 0.0713585i
\(597\) −18352.6 23013.4i −1.25816 1.57768i
\(598\) −17131.7 + 8250.19i −1.17152 + 0.564173i
\(599\) 3886.33 4873.30i 0.265093 0.332417i −0.631414 0.775446i \(-0.717525\pi\)
0.896507 + 0.443030i \(0.146096\pi\)
\(600\) 2147.66 9409.51i 0.146130 0.640236i
\(601\) −7435.09 + 9323.31i −0.504632 + 0.632788i −0.967267 0.253760i \(-0.918333\pi\)
0.462635 + 0.886549i \(0.346904\pi\)
\(602\) −25263.9 251.682i −1.71043 0.0170395i
\(603\) 6254.46 + 7842.85i 0.422390 + 0.529661i
\(604\) −558.368 + 268.896i −0.0376154 + 0.0181146i
\(605\) 4147.42 18171.0i 0.278705 1.22109i
\(606\) 7874.51 0.527855
\(607\) 20453.8 1.36770 0.683851 0.729622i \(-0.260304\pi\)
0.683851 + 0.729622i \(0.260304\pi\)
\(608\) 406.524 1781.10i 0.0271163 0.118804i
\(609\) −29642.6 14640.7i −1.97238 0.974172i
\(610\) 68.2629 + 299.079i 0.00453096 + 0.0198514i
\(611\) 2556.36 + 11200.1i 0.169262 + 0.741586i
\(612\) −193.937 243.190i −0.0128096 0.0160627i
\(613\) −12454.3 15617.2i −0.820595 1.02899i −0.998985 0.0450339i \(-0.985660\pi\)
0.178390 0.983960i \(-0.442911\pi\)
\(614\) 1280.23 + 5609.06i 0.0841465 + 0.368670i
\(615\) −6606.43 28944.6i −0.433165 1.89782i
\(616\) −423.079 541.503i −0.0276726 0.0354185i
\(617\) 277.670 1216.55i 0.0181176 0.0793785i −0.965061 0.262026i \(-0.915609\pi\)
0.983179 + 0.182647i \(0.0584666\pi\)
\(618\) 14532.7 0.945940
\(619\) −20732.2 −1.34620 −0.673100 0.739551i \(-0.735038\pi\)
−0.673100 + 0.739551i \(0.735038\pi\)
\(620\) −425.962 + 1866.26i −0.0275920 + 0.120889i
\(621\) 14019.7 6751.55i 0.905946 0.436281i
\(622\) −6656.48 8346.96i −0.429100 0.538075i
\(623\) −7100.15 + 8723.60i −0.456600 + 0.561001i
\(624\) −9156.78 + 11482.2i −0.587443 + 0.736630i
\(625\) 4325.85 18952.8i 0.276854 1.21298i
\(626\) 17200.5 21568.7i 1.09820 1.37709i
\(627\) −364.294 + 175.435i −0.0232033 + 0.0111741i
\(628\) −1871.74 2347.09i −0.118934 0.149139i
\(629\) −515.892 248.441i −0.0327026 0.0157488i
\(630\) −2732.57 + 11445.4i −0.172807 + 0.723803i
\(631\) 5121.70 2466.48i 0.323125 0.155609i −0.265288 0.964169i \(-0.585467\pi\)
0.588413 + 0.808560i \(0.299753\pi\)
\(632\) 3640.09 + 1752.98i 0.229106 + 0.110332i
\(633\) 8023.33 + 35152.5i 0.503790 + 2.20725i
\(634\) −3661.50 1763.29i −0.229364 0.110456i
\(635\) 6721.57 8428.58i 0.420059 0.526737i
\(636\) 3107.56 0.193747
\(637\) −2613.64 + 10483.8i −0.162569 + 0.652091i
\(638\) 1497.09 0.0929004
\(639\) 6688.35 8386.93i 0.414064 0.519220i
\(640\) −21277.6 10246.7i −1.31417 0.632871i
\(641\) 6192.30 + 27130.2i 0.381562 + 1.67173i 0.692590 + 0.721331i \(0.256470\pi\)
−0.311028 + 0.950401i \(0.600673\pi\)
\(642\) 4357.97 + 2098.69i 0.267906 + 0.129017i
\(643\) −24619.6 + 11856.2i −1.50996 + 0.727158i −0.991761 0.128102i \(-0.959112\pi\)
−0.518199 + 0.855260i \(0.673397\pi\)
\(644\) 2656.95 + 3400.66i 0.162575 + 0.208082i
\(645\) 36903.0 + 17771.6i 2.25280 + 1.08489i
\(646\) −1169.70 1466.76i −0.0712404 0.0893326i
\(647\) −4391.59 + 2114.88i −0.266849 + 0.128508i −0.562524 0.826781i \(-0.690170\pi\)
0.295675 + 0.955288i \(0.404455\pi\)
\(648\) 11725.1 14702.8i 0.710810 0.891328i
\(649\) 333.889 1462.86i 0.0201946 0.0884783i
\(650\) 4284.43 5372.51i 0.258537 0.324196i
\(651\) −3249.78 + 13611.7i −0.195651 + 0.819487i
\(652\) 421.873 + 529.012i 0.0253402 + 0.0317756i
\(653\) 9007.89 4337.97i 0.539826 0.259966i −0.144043 0.989571i \(-0.546010\pi\)
0.683869 + 0.729605i \(0.260296\pi\)
\(654\) 1940.49 8501.84i 0.116023 0.508331i
\(655\) −15120.6 −0.901998
\(656\) −23507.2 −1.39909
\(657\) −1824.16 + 7992.18i −0.108322 + 0.474589i
\(658\) 18514.2 8689.86i 1.09690 0.514842i
\(659\) 4689.88 + 20547.7i 0.277226 + 1.21460i 0.901285 + 0.433227i \(0.142625\pi\)
−0.624059 + 0.781377i \(0.714518\pi\)
\(660\) −42.4184 185.847i −0.00250172 0.0109607i
\(661\) −3847.30 4824.36i −0.226388 0.283882i 0.655645 0.755069i \(-0.272397\pi\)
−0.882033 + 0.471188i \(0.843825\pi\)
\(662\) 10601.5 + 13293.9i 0.622416 + 0.780486i
\(663\) 808.202 + 3540.96i 0.0473423 + 0.207420i
\(664\) 5917.62 + 25926.8i 0.345856 + 1.51529i
\(665\) −2101.07 + 8800.35i −0.122520 + 0.513178i
\(666\) 323.955 1419.34i 0.0188484 0.0825801i
\(667\) 54945.3 3.18964
\(668\) −506.405 −0.0293314
\(669\) −5632.47 + 24677.5i −0.325507 + 1.42614i
\(670\) −25699.5 + 12376.2i −1.48188 + 0.713636i
\(671\) −8.07199 10.1220i −0.000464405 0.000582345i
\(672\) 5645.55 + 2788.37i 0.324080 + 0.160065i
\(673\) −5069.35 + 6356.76i −0.290355 + 0.364094i −0.905519 0.424305i \(-0.860518\pi\)
0.615164 + 0.788399i \(0.289090\pi\)
\(674\) 4935.52 21623.9i 0.282061 1.23579i
\(675\) −3506.17 + 4396.59i −0.199930 + 0.250704i
\(676\) 1268.73 610.987i 0.0721852 0.0347626i
\(677\) −7258.04 9101.29i −0.412037 0.516678i 0.531898 0.846808i \(-0.321479\pi\)
−0.943935 + 0.330130i \(0.892907\pi\)
\(678\) 12199.6 + 5875.02i 0.691037 + 0.332786i
\(679\) −2623.84 12047.8i −0.148297 0.680929i
\(680\) −4657.11 + 2242.74i −0.262635 + 0.126478i
\(681\) −5076.29 2444.61i −0.285644 0.137559i
\(682\) −141.011 617.810i −0.00791729 0.0346879i
\(683\) 15997.3 + 7703.88i 0.896220 + 0.431597i 0.824522 0.565830i \(-0.191444\pi\)
0.0716978 + 0.997426i \(0.477158\pi\)
\(684\) 379.137 475.422i 0.0211939 0.0265764i
\(685\) 13136.4 0.732723
\(686\) 19226.7 + 574.769i 1.07009 + 0.0319895i
\(687\) 2940.50 0.163300
\(688\) 20220.2 25355.4i 1.12048 1.40504i
\(689\) −11649.8 5610.26i −0.644155 0.310209i
\(690\) −12211.8 53503.5i −0.673763 2.95195i
\(691\) −20733.7 9984.82i −1.14146 0.549697i −0.235001 0.971995i \(-0.575509\pi\)
−0.906457 + 0.422298i \(0.861224\pi\)
\(692\) 1466.94 706.443i 0.0805851 0.0388077i
\(693\) −105.675 485.226i −0.00579261 0.0265977i
\(694\) 19183.7 + 9238.39i 1.04929 + 0.505309i
\(695\) 21188.1 + 26569.0i 1.15642 + 1.45010i
\(696\) 33268.2 16021.1i 1.81182 0.872528i
\(697\) −3624.65 + 4545.16i −0.196977 + 0.247002i
\(698\) 1887.02 8267.56i 0.102328 0.448326i
\(699\) 2582.82 3238.76i 0.139759 0.175252i
\(700\) −1398.32 690.641i −0.0755024 0.0372911i
\(701\) 21734.7 + 27254.4i 1.17105 + 1.46845i 0.854175 + 0.519986i \(0.174063\pi\)
0.316877 + 0.948467i \(0.397366\pi\)
\(702\) 6708.09 3230.45i 0.360656 0.173683i
\(703\) 249.089 1091.33i 0.0133635 0.0585495i
\(704\) 747.888 0.0400385
\(705\) −33156.6 −1.77127
\(706\) −1584.58 + 6942.50i −0.0844709 + 0.370091i
\(707\) −1726.87 + 7233.01i −0.0918608 + 0.384760i
\(708\) 1409.14 + 6173.84i 0.0748004 + 0.327722i
\(709\) 268.160 + 1174.88i 0.0142044 + 0.0622337i 0.981533 0.191291i \(-0.0612673\pi\)
−0.967329 + 0.253524i \(0.918410\pi\)
\(710\) 19018.4 + 23848.3i 1.00528 + 1.26058i
\(711\) 1820.40 + 2282.70i 0.0960199 + 0.120405i
\(712\) −2795.39 12247.4i −0.147137 0.644649i
\(713\) −5175.29 22674.4i −0.271832 1.19097i
\(714\) 5853.35 2747.33i 0.306801 0.144000i
\(715\) −176.499 + 773.295i −0.00923176 + 0.0404470i
\(716\) 5300.92 0.276683
\(717\) −29745.6 −1.54933
\(718\) −2729.44 + 11958.5i −0.141869 + 0.621567i
\(719\) 24290.3 11697.6i 1.25991 0.606741i 0.319760 0.947499i \(-0.396398\pi\)
0.940151 + 0.340757i \(0.110683\pi\)
\(720\) −9417.46 11809.1i −0.487456 0.611250i
\(721\) −3187.00 + 13348.8i −0.164619 + 0.689507i
\(722\) −10662.7 + 13370.6i −0.549617 + 0.689198i
\(723\) 2780.22 12180.9i 0.143012 0.626575i
\(724\) 1370.88 1719.03i 0.0703706 0.0882420i
\(725\) −17890.1 + 8615.43i −0.916445 + 0.441337i
\(726\) −16235.7 20358.9i −0.829976 1.04076i
\(727\) 17330.5 + 8345.92i 0.884116 + 0.425768i 0.820126 0.572183i \(-0.193903\pi\)
0.0639896 + 0.997951i \(0.479618\pi\)
\(728\) −7429.54 9509.16i −0.378238 0.484111i
\(729\) −54.0516 + 26.0299i −0.00274611 + 0.00132246i
\(730\) −21001.8 10114.0i −1.06481 0.512786i
\(731\) −1784.69 7819.25i −0.0903000 0.395630i
\(732\) 49.2281 + 23.7070i 0.00248569 + 0.00119704i
\(733\) −9688.63 + 12149.2i −0.488209 + 0.612195i −0.963524 0.267620i \(-0.913763\pi\)
0.475315 + 0.879816i \(0.342334\pi\)
\(734\) −26751.9 −1.34527
\(735\) −27820.6 14087.2i −1.39616 0.706959i
\(736\) −10464.5 −0.524087
\(737\) 750.554 941.165i 0.0375129 0.0470397i
\(738\) −13317.2 6413.21i −0.664243 0.319883i
\(739\) −83.1264 364.201i −0.00413783 0.0181290i 0.972817 0.231576i \(-0.0743881\pi\)
−0.976955 + 0.213447i \(0.931531\pi\)
\(740\) 475.482 + 228.980i 0.0236204 + 0.0113750i
\(741\) −6397.25 + 3080.75i −0.317151 + 0.152732i
\(742\) −5345.65 + 22390.3i −0.264481 + 1.10778i
\(743\) −13286.2 6398.28i −0.656019 0.315922i 0.0760985 0.997100i \(-0.475754\pi\)
−0.732118 + 0.681178i \(0.761468\pi\)
\(744\) −9745.03 12219.9i −0.480202 0.602154i
\(745\) 25891.7 12468.8i 1.27328 0.613181i
\(746\) 4268.27 5352.24i 0.209481 0.262680i
\(747\) −4276.43 + 18736.3i −0.209460 + 0.917702i
\(748\) −23.2731 + 29.1835i −0.00113763 + 0.00142654i
\(749\) −2883.42 + 3542.71i −0.140665 + 0.172827i
\(750\) −9089.72 11398.1i −0.442546 0.554935i
\(751\) −23431.5 + 11284.0i −1.13852 + 0.548282i −0.905566 0.424205i \(-0.860553\pi\)
−0.232954 + 0.972488i \(0.574839\pi\)
\(752\) −5841.78 + 25594.5i −0.283282 + 1.24114i
\(753\) −9986.80 −0.483319
\(754\) 26289.9 1.26979
\(755\) −1656.11 + 7255.90i −0.0798306 + 0.349761i
\(756\) −1040.36 1331.56i −0.0500494 0.0640588i
\(757\) −3611.43 15822.7i −0.173394 0.759690i −0.984585 0.174908i \(-0.944037\pi\)
0.811190 0.584782i \(-0.198820\pi\)
\(758\) 2253.23 + 9872.02i 0.107969 + 0.473045i
\(759\) 1444.03 + 1810.76i 0.0690580 + 0.0865960i
\(760\) −6300.43 7900.49i −0.300711 0.377080i
\(761\) −5857.72 25664.4i −0.279030 1.22251i −0.899022 0.437904i \(-0.855721\pi\)
0.619991 0.784609i \(-0.287136\pi\)
\(762\) −3351.55 14684.1i −0.159336 0.698096i
\(763\) 7383.68 + 3646.85i 0.350337 + 0.173034i
\(764\) 439.898 1927.32i 0.0208311 0.0912670i
\(765\) −3735.43 −0.176542
\(766\) 3149.85 0.148575
\(767\) 5863.31 25688.9i 0.276026 1.20935i
\(768\) −10264.0 + 4942.90i −0.482254 + 0.232241i
\(769\) 10067.3 + 12623.9i 0.472087 + 0.591978i 0.959681 0.281093i \(-0.0906968\pi\)
−0.487594 + 0.873070i \(0.662125\pi\)
\(770\) 1412.02 +