Properties

Label 49.4.e.a.8.10
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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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 8.10
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.10

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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 0.994135 0.108144i \(-0.0344908\pi\)
−0.326649 + 0.945146i \(0.605919\pi\)
\(3\) −5.83533 + 2.81015i −1.12301 + 0.540813i −0.900821 0.434191i \(-0.857034\pi\)
−0.222189 + 0.975004i \(0.571320\pi\)
\(4\) −0.260101 + 1.13958i −0.0325127 + 0.142447i
\(5\) −12.6471 + 6.09051i −1.13119 + 0.544751i −0.903331 0.428943i \(-0.858886\pi\)
−0.227857 + 0.973695i \(0.573172\pi\)
\(6\) −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 0.796923 0.604081i \(-0.206460\pi\)
−0.766267 + 0.642522i \(0.777888\pi\)
\(12\) −1.68461 7.38074i −0.0405253 0.177553i
\(13\) 19.6402 + 24.6280i 0.419017 + 0.525430i 0.945879 0.324521i \(-0.105203\pi\)
−0.526862 + 0.849951i \(0.676632\pi\)
\(14\) −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 0.995293 0.0969123i \(-0.0308966\pi\)
−0.938777 + 0.344526i \(0.888039\pi\)
\(18\) 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 0.216483 + 0.976286i \(0.430541\pi\)
−0.618639 + 0.785675i \(0.712316\pi\)
\(24\) −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 −0.654984 0.755642i \(-0.727325\pi\)
0.262260 0.964997i \(-0.415532\pi\)
\(30\) 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 0.988336 0.152287i \(-0.0486640\pi\)
−0.956535 + 0.291617i \(0.905807\pi\)
\(38\) 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 −0.900112 0.435658i \(-0.856516\pi\)
−0.220600 + 0.975364i \(0.570801\pi\)
\(42\) 223.619 286.213i 0.821553 1.05151i
\(43\) 405.907 + 195.474i 1.43954 + 0.693245i 0.980744 0.195297i \(-0.0625671\pi\)
0.458795 + 0.888542i \(0.348281\pi\)
\(44\) −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 0.291740 0.956498i \(-0.405766\pi\)
−0.997434 + 0.0715852i \(0.977194\pi\)
\(48\) −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 0.707198 + 0.707016i \(0.249959\pi\)
−0.943926 + 0.330157i \(0.892898\pi\)
\(54\) 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 0.998569 + 0.0534831i \(0.0170323\pi\)
0.664412 + 0.747366i \(0.268682\pi\)
\(60\) 66.2578 + 83.0847i 0.142564 + 0.178770i
\(61\) 1.60600 + 7.03636i 0.00337094 + 0.0147691i 0.976585 0.215130i \(-0.0690175\pi\)
−0.973214 + 0.229899i \(0.926160\pi\)
\(62\) 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 0.646644 + 0.762792i \(0.276172\pi\)
−0.913569 + 0.406684i \(0.866685\pi\)
\(72\) 68.8025 301.444i 0.112617 0.493409i
\(73\) 341.931 428.768i 0.548219 0.687445i −0.428112 0.903726i \(-0.640821\pi\)
0.976331 + 0.216280i \(0.0693926\pi\)
\(74\) −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 0.118335 0.992974i \(-0.462244\pi\)
0.941746 0.336325i \(-0.109184\pi\)
\(84\) 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 −0.954402 0.298524i \(-0.903506\pi\)
0.503414 + 0.864046i \(0.332077\pi\)
\(90\) −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 −0.603512 0.797354i \(-0.706233\pi\)
0.247113 + 0.968987i \(0.420518\pi\)
\(102\) 77.6893 340.379i 0.0754156 0.330417i
\(103\) −667.639 + 321.518i −0.638684 + 0.307574i −0.725057 0.688689i \(-0.758187\pi\)
0.0863730 + 0.996263i \(0.472472\pi\)
\(104\) 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 −0.846431 0.532498i \(-0.821254\pi\)
0.707496 + 0.706718i \(0.249825\pi\)
\(108\) 82.2046 + 39.5876i 0.0732420 + 0.0352715i
\(109\) −277.240 347.648i −0.243622 0.305492i 0.644955 0.764221i \(-0.276876\pi\)
−0.888576 + 0.458729i \(0.848305\pi\)
\(110\) −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 −0.928034 0.372495i \(-0.878502\pi\)
0.569663 + 0.821879i \(0.307074\pi\)
\(114\) −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 −0.998885 0.0472140i \(-0.984966\pi\)
0.879479 0.475938i \(-0.157891\pi\)
\(128\) 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 0.728563 0.684978i \(-0.240188\pi\)
−0.0812859 + 0.996691i \(0.525903\pi\)
\(132\) 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 0.152098 0.988365i \(-0.451397\pi\)
−0.677903 + 0.735151i \(0.737111\pi\)
\(138\) 2437.58 3056.63i 1.50363 1.88549i
\(139\) −2181.19 + 1050.40i −1.33098 + 0.640964i −0.957971 0.286865i \(-0.907387\pi\)
−0.373005 + 0.927829i \(0.621673\pi\)
\(140\) 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 0.295347 0.955390i \(-0.404565\pi\)
−0.997157 + 0.0753475i \(0.975993\pi\)
\(150\) −1272.95 + 613.022i −0.692909 + 0.333687i
\(151\) −117.980 + 516.906i −0.0635835 + 0.278577i −0.996718 0.0809494i \(-0.974205\pi\)
0.933135 + 0.359527i \(0.117062\pi\)
\(152\) 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 0.916821 0.399299i \(-0.130746\pi\)
0.259444 + 0.965758i \(0.416461\pi\)
\(158\) 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 0.304359 0.952557i \(-0.401558\pi\)
−0.554975 + 0.831867i \(0.687272\pi\)
\(164\) −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 0.992340 0.123540i \(-0.0394246\pi\)
−0.947669 + 0.319255i \(0.896567\pi\)
\(168\) −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 −0.860029 0.510246i \(-0.829554\pi\)
0.996246 0.0865631i \(-0.0275884\pi\)
\(174\) −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 −0.524370 0.851491i \(-0.675699\pi\)
0.102993 0.994682i \(-0.467158\pi\)
\(180\) −220.976 106.416i −0.0915033 0.0440657i
\(181\) 1172.81 1470.66i 0.481625 0.603939i −0.480349 0.877077i \(-0.659490\pi\)
0.961975 + 0.273138i \(0.0880616\pi\)
\(182\) −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 −0.122389 0.992482i \(-0.539055\pi\)
0.699646 + 0.714490i \(0.253341\pi\)
\(192\) −600.879 + 2632.62i −0.225858 + 0.989549i
\(193\) −446.929 + 215.230i −0.166687 + 0.0802725i −0.515367 0.856970i \(-0.672344\pi\)
0.348680 + 0.937242i \(0.386630\pi\)
\(194\) 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 0.474552 0.880227i \(-0.342610\pi\)
0.984068 + 0.177793i \(0.0568957\pi\)
\(200\) 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 −0.238995 + 0.971021i \(0.576818\pi\)
−0.893494 + 0.449075i \(0.851754\pi\)
\(212\) −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 0.658861 + 0.752264i \(0.271038\pi\)
−0.920009 + 0.391898i \(0.871819\pi\)
\(224\) −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 0.373933 0.927456i \(-0.378009\pi\)
−0.491971 + 0.870612i \(0.663723\pi\)
\(230\) 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 0.950970 0.309283i \(-0.100089\pi\)
−0.990987 + 0.133956i \(0.957232\pi\)
\(234\) 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 0.899862 0.436175i \(-0.143667\pi\)
0.220039 + 0.975491i \(0.429381\pi\)
\(240\) 5896.39 2839.55i 1.58588 0.763718i
\(241\) 429.263 1880.72i 0.114735 0.502689i −0.884604 0.466343i \(-0.845571\pi\)
0.999339 0.0363456i \(-0.0115717\pi\)
\(242\) 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 0.600330 0.799753i \(-0.295036\pi\)
−0.250972 + 0.967994i \(0.580750\pi\)
\(252\) −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 −0.997134 0.0756549i \(-0.975895\pi\)
0.865561 0.500803i \(-0.166962\pi\)
\(258\) −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 −0.995508 0.0946761i \(-0.969818\pi\)
0.313824 + 0.949481i \(0.398390\pi\)
\(270\) −2068.63 + 2593.97i −0.466269 + 0.584682i
\(271\) −1359.56 + 5956.61i −0.304750 + 1.33520i 0.558115 + 0.829763i \(0.311525\pi\)
−0.862865 + 0.505434i \(0.831333\pi\)
\(272\) −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 0.718501 + 0.695526i \(0.244829\pi\)
−0.345569 + 0.938393i \(0.612314\pi\)
\(278\) −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 0.995734 0.0922714i \(-0.0294127\pi\)
−0.311530 + 0.950236i \(0.600841\pi\)
\(282\) 1591.54 + 6973.01i 0.336082 + 1.47247i
\(283\) −1821.87 2284.55i −0.382681 0.479867i 0.552764 0.833338i \(-0.313573\pi\)
−0.935446 + 0.353470i \(0.885001\pi\)
\(284\) −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 0.659425 0.751770i \(-0.270800\pi\)
−0.879658 + 0.475607i \(0.842228\pi\)
\(308\) −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 0.994717 + 0.102658i \(0.0327349\pi\)
−0.851667 + 0.524083i \(0.824408\pi\)
\(312\) −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 −0.994469 0.105026i \(-0.966507\pi\)
0.941555 + 0.336859i \(0.109365\pi\)
\(318\) 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 −0.966227 0.257694i \(-0.917037\pi\)
0.758731 0.651404i \(-0.225820\pi\)
\(332\) 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 0.883062 0.469256i \(-0.155478\pi\)
0.183702 + 0.982982i \(0.441192\pi\)
\(338\) 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 −0.697059 0.717014i \(-0.745508\pi\)
0.939129 0.343565i \(-0.111635\pi\)
\(348\) −1879.97 + 905.348i −0.289590 + 0.139459i
\(349\) 2523.23 + 1215.12i 0.387007 + 0.186373i 0.617262 0.786758i \(-0.288242\pi\)
−0.230255 + 0.973130i \(0.573956\pi\)
\(350\) −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 0.267274 0.963621i \(-0.413877\pi\)
−0.586746 + 0.809771i \(0.699591\pi\)
\(354\) −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 0.145926 0.989295i \(-0.453384\pi\)
−0.682479 + 0.730905i \(0.739098\pi\)
\(360\) 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 0.216505 + 0.976282i \(0.430534\pi\)
−0.999981 + 0.00616668i \(0.998037\pi\)
\(368\) −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 0.620200 0.784443i \(-0.287051\pi\)
−0.902783 + 0.430096i \(0.858480\pi\)
\(380\) −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 −0.736682 0.676239i \(-0.763609\pi\)
0.823211 + 0.567735i \(0.192180\pi\)
\(384\) −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 0.188833 0.982009i \(-0.439529\pi\)
0.885501 + 0.464637i \(0.153815\pi\)
\(390\) 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 0.133520 0.991046i \(-0.457372\pi\)
0.858079 + 0.513517i \(0.171658\pi\)
\(398\) 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 −0.542377 0.840135i \(-0.682476\pi\)
0.939761 + 0.341831i \(0.111047\pi\)
\(402\) −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 0.961751 0.273924i \(-0.0883215\pi\)
−0.985359 + 0.170492i \(0.945464\pi\)
\(410\) 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 −0.805814 0.592169i \(-0.798272\pi\)
0.982946 0.183896i \(-0.0588711\pi\)
\(420\) −1764.63 + 871.563i −0.205013 + 0.101257i
\(421\) −1302.16 5705.14i −0.150744 0.660455i −0.992670 0.120860i \(-0.961435\pi\)
0.841925 0.539595i \(-0.181422\pi\)
\(422\) −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 0.504540 0.863388i \(-0.331662\pi\)
−0.360449 + 0.932779i \(0.617376\pi\)
\(432\) 3503.36 4393.07i 0.390174 0.489263i
\(433\) −5359.96 + 2581.22i −0.594881 + 0.286479i −0.706998 0.707216i \(-0.749951\pi\)
0.112117 + 0.993695i \(0.464237\pi\)
\(434\) −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 0.558481 0.829517i \(-0.311384\pi\)
−0.932993 + 0.359894i \(0.882813\pi\)
\(440\) −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 0.899044 0.437859i \(-0.144263\pi\)
−0.626937 + 0.779070i \(0.715692\pi\)
\(444\) 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 0.000432243 1.00000i \(-0.499862\pi\)
0.782101 + 0.623152i \(0.214148\pi\)
\(450\) 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 −0.0617208 0.998093i \(-0.519659\pi\)
−0.818823 + 0.574046i \(0.805373\pi\)
\(458\) −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 0.995872 0.0907695i \(-0.0289326\pi\)
−0.936633 + 0.350312i \(0.886076\pi\)
\(462\) 651.501 6.49033i 0.0656073 0.000653588i
\(463\) −2191.34 + 9600.87i −0.219957 + 0.963694i 0.737552 + 0.675290i \(0.235982\pi\)
−0.957509 + 0.288404i \(0.906875\pi\)
\(464\) 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 −0.988230 0.152976i \(-0.951114\pi\)
0.956738 + 0.290950i \(0.0939714\pi\)
\(468\) −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 −0.990495 0.137546i \(-0.956078\pi\)
0.0863085 0.996268i \(-0.472493\pi\)
\(480\) 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 −0.655405 0.755278i \(-0.727502\pi\)
0.181862 + 0.983324i \(0.441788\pi\)
\(488\) 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 −0.0382587 0.999268i \(-0.512181\pi\)
0.982728 0.185059i \(-0.0592475\pi\)
\(500\) 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 0.991947 0.126656i \(-0.0404245\pi\)
−0.344210 + 0.938893i \(0.611853\pi\)
\(504\) 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 0.430472 0.902604i \(-0.358347\pi\)
−0.437290 + 0.899321i \(0.644062\pi\)
\(524\) −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 −0.981878 0.189516i \(-0.939308\pi\)
0.0337242 0.999431i \(-0.489263\pi\)
\(542\) −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 −0.0196609 0.999807i \(-0.506259\pi\)
0.769422 + 0.638741i \(0.220544\pi\)
\(548\) 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 0.0419556 + 0.999119i \(0.486641\pi\)
−0.983405 + 0.181421i \(0.941930\pi\)
\(564\) −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 0.985904 0.167315i \(-0.0535096\pi\)
−0.960864 + 0.277022i \(0.910652\pi\)
\(572\) −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 0.970389 0.241546i \(-0.0776544\pi\)
−0.451422 + 0.892311i \(0.649083\pi\)
\(578\) 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 −0.368808 0.929506i \(-0.620234\pi\)
0.496769 + 0.867883i \(0.334520\pi\)
\(594\) 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 0.896507 0.443030i \(-0.146096\pi\)
−0.631414 + 0.775446i \(0.717525\pi\)
\(600\) 2147.66 + 9409.51i 0.146130 + 0.640236i
\(601\) −7435.09 9323.31i −0.504632 0.632788i 0.462635 0.886549i \(-0.346904\pi\)
−0.967267 + 0.253760i \(0.918333\pi\)
\(602\) −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 0.178390 + 0.983960i \(0.442911\pi\)
−0.998985 + 0.0450339i \(0.985660\pi\)
\(614\) 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 0.983179 0.182647i \(-0.0584666\pi\)
−0.965061 + 0.262026i \(0.915609\pi\)
\(618\) 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 0.588413 0.808560i \(-0.299753\pi\)
−0.265288 + 0.964169i \(0.585467\pi\)
\(632\) 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 −0.311028 0.950401i \(-0.600673\pi\)
0.692590 0.721331i \(-0.256470\pi\)
\(642\) 4357.97 2098.69i 0.267906 0.129017i
\(643\) −24619.6 11856.2i −1.50996 0.727158i −0.518199 0.855260i \(-0.673397\pi\)
−0.991761 + 0.128102i \(0.959112\pi\)
\(644\) 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 0.295675 0.955288i \(-0.404455\pi\)
−0.562524 + 0.826781i \(0.690170\pi\)
\(648\) 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 0.683869 0.729605i \(-0.260296\pi\)
−0.144043 + 0.989571i \(0.546010\pi\)
\(654\) 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 −0.624059 0.781377i \(-0.714518\pi\)
0.901285 0.433227i \(-0.142625\pi\)
\(660\) −42.4184 + 185.847i −0.00250172 + 0.0109607i
\(661\) −3847.30 + 4824.36i −0.226388 + 0.283882i −0.882033 0.471188i \(-0.843825\pi\)
0.655645 + 0.755069i \(0.272397\pi\)
\(662\) 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 0.615164 0.788399i \(-0.289090\pi\)
−0.905519 + 0.424305i \(0.860518\pi\)
\(674\) 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 −0.943935 0.330130i \(-0.892907\pi\)
0.531898 + 0.846808i \(0.321479\pi\)
\(678\) 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 0.0716978 0.997426i \(-0.477158\pi\)
0.824522 + 0.565830i \(0.191444\pi\)
\(684\) 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 −0.906457 0.422298i \(-0.861224\pi\)
−0.235001 + 0.971995i \(0.575509\pi\)
\(692\) 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 0.316877 0.948467i \(-0.397366\pi\)
0.854175 0.519986i \(-0.174063\pi\)
\(702\) 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 −0.967329 0.253524i \(-0.918410\pi\)
0.981533 + 0.191291i \(0.0612673\pi\)
\(710\) 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 0.940151 0.340757i \(-0.110683\pi\)
0.319760 + 0.947499i \(0.396398\pi\)
\(720\) −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 0.0639896 0.997951i \(-0.479618\pi\)
0.820126 + 0.572183i \(0.193903\pi\)
\(728\) −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 0.475315 0.879816i \(-0.342334\pi\)
−0.963524 + 0.267620i \(0.913763\pi\)
\(734\) −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 −0.976955 0.213447i \(-0.931531\pi\)
0.972817 + 0.231576i \(0.0743881\pi\)
\(740\) 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 −0.732118 0.681178i \(-0.761468\pi\)
0.0760985 + 0.997100i \(0.475754\pi\)
\(744\) −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 −0.232954 0.972488i \(-0.574839\pi\)
−0.905566 + 0.424205i \(0.860553\pi\)
\(752\) −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 0.811190 + 0.584782i \(0.198820\pi\)
−0.984585 + 0.174908i \(0.944037\pi\)
\(758\) 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 0.619991 + 0.784609i \(0.287136\pi\)
−0.899022 + 0.437904i \(0.855721\pi\)
\(762\) −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 −0.487594 0.873070i \(-0.662125\pi\)
0.959681 + 0.281093i \(0.0906968\pi\)
\(770\) 1412.02 14.0667i