Properties

Label 63.4.o.a.20.5
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.5
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.28475 - 1.89645i) q^{2} +(-4.97559 + 1.49782i) q^{3} +(3.19307 + 5.53055i) q^{4} +(-9.97590 - 17.2788i) q^{5} +(19.1841 + 4.51602i) q^{6} +(-4.13417 + 18.0529i) q^{7} +6.12125i q^{8} +(22.5131 - 14.9051i) q^{9} +O(q^{10})\) \(q+(-3.28475 - 1.89645i) q^{2} +(-4.97559 + 1.49782i) q^{3} +(3.19307 + 5.53055i) q^{4} +(-9.97590 - 17.2788i) q^{5} +(19.1841 + 4.51602i) q^{6} +(-4.13417 + 18.0529i) q^{7} +6.12125i q^{8} +(22.5131 - 14.9051i) q^{9} +75.6753i q^{10} +(31.1676 + 17.9946i) q^{11} +(-24.1712 - 22.7352i) q^{12} +(6.59980 - 3.81040i) q^{13} +(47.8163 - 51.4592i) q^{14} +(75.5165 + 71.0301i) q^{15} +(37.1532 - 64.3512i) q^{16} -21.4747 q^{17} +(-102.217 + 6.26447i) q^{18} +97.3022i q^{19} +(63.7074 - 110.345i) q^{20} +(-6.47004 - 96.0163i) q^{21} +(-68.2518 - 118.216i) q^{22} +(-35.6964 + 20.6094i) q^{23} +(-9.16851 - 30.4568i) q^{24} +(-136.537 + 236.489i) q^{25} -28.9050 q^{26} +(-89.6909 + 107.882i) q^{27} +(-113.043 + 34.7800i) q^{28} +(-51.8612 - 29.9421i) q^{29} +(-113.348 - 376.530i) q^{30} +(61.1449 - 35.3020i) q^{31} +(-201.669 + 116.434i) q^{32} +(-182.030 - 42.8505i) q^{33} +(70.5390 + 40.7257i) q^{34} +(353.175 - 108.661i) q^{35} +(154.319 + 76.9169i) q^{36} +355.309 q^{37} +(184.529 - 319.614i) q^{38} +(-27.1307 + 28.8443i) q^{39} +(105.768 - 61.0649i) q^{40} +(7.30794 + 12.6577i) q^{41} +(-160.838 + 327.660i) q^{42} +(-48.8575 + 84.6237i) q^{43} +229.832i q^{44} +(-482.130 - 240.307i) q^{45} +156.339 q^{46} +(-234.897 + 406.853i) q^{47} +(-88.4728 + 375.834i) q^{48} +(-308.817 - 149.268i) q^{49} +(896.982 - 517.873i) q^{50} +(106.849 - 32.1651i) q^{51} +(42.1472 + 24.3337i) q^{52} +710.531i q^{53} +(499.206 - 184.271i) q^{54} -718.049i q^{55} +(-110.506 - 25.3063i) q^{56} +(-145.741 - 484.136i) q^{57} +(113.568 + 196.705i) q^{58} +(232.735 + 403.109i) q^{59} +(-151.706 + 644.452i) q^{60} +(542.558 + 313.246i) q^{61} -267.794 q^{62} +(176.007 + 468.047i) q^{63} +288.792 q^{64} +(-131.678 - 76.0243i) q^{65} +(516.659 + 485.964i) q^{66} +(-262.327 - 454.364i) q^{67} +(-68.5700 - 118.767i) q^{68} +(146.742 - 156.011i) q^{69} +(-1366.16 - 312.855i) q^{70} -115.729i q^{71} +(91.2376 + 137.808i) q^{72} +708.180i q^{73} +(-1167.10 - 673.827i) q^{74} +(325.136 - 1381.18i) q^{75} +(-538.135 + 310.692i) q^{76} +(-453.708 + 488.273i) q^{77} +(143.819 - 43.2944i) q^{78} +(128.747 - 222.997i) q^{79} -1482.55 q^{80} +(284.678 - 671.118i) q^{81} -55.4366i q^{82} +(200.583 - 347.420i) q^{83} +(510.364 - 342.369i) q^{84} +(214.229 + 371.056i) q^{85} +(320.970 - 185.312i) q^{86} +(302.888 + 71.3010i) q^{87} +(-110.149 + 190.784i) q^{88} -977.834 q^{89} +(1127.95 + 1703.68i) q^{90} +(41.5042 + 134.899i) q^{91} +(-227.962 - 131.614i) q^{92} +(-251.356 + 267.233i) q^{93} +(1543.16 - 890.942i) q^{94} +(1681.26 - 970.677i) q^{95} +(829.026 - 881.389i) q^{96} +(-521.193 - 300.911i) q^{97} +(731.308 + 1075.97i) q^{98} +(969.889 - 59.4408i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.28475 1.89645i −1.16134 0.670497i −0.209712 0.977763i \(-0.567253\pi\)
−0.951624 + 0.307266i \(0.900586\pi\)
\(3\) −4.97559 + 1.49782i −0.957554 + 0.288255i
\(4\) 3.19307 + 5.53055i 0.399133 + 0.691319i
\(5\) −9.97590 17.2788i −0.892272 1.54546i −0.837145 0.546981i \(-0.815777\pi\)
−0.0551264 0.998479i \(-0.517556\pi\)
\(6\) 19.1841 + 4.51602i 1.30532 + 0.307276i
\(7\) −4.13417 + 18.0529i −0.223224 + 0.974767i
\(8\) 6.12125i 0.270523i
\(9\) 22.5131 14.9051i 0.833818 0.552040i
\(10\) 75.6753i 2.39306i
\(11\) 31.1676 + 17.9946i 0.854307 + 0.493234i 0.862102 0.506735i \(-0.169148\pi\)
−0.00779501 + 0.999970i \(0.502481\pi\)
\(12\) −24.1712 22.7352i −0.581468 0.546923i
\(13\) 6.59980 3.81040i 0.140804 0.0812934i −0.427943 0.903806i \(-0.640762\pi\)
0.568747 + 0.822512i \(0.307428\pi\)
\(14\) 47.8163 51.4592i 0.912817 0.982360i
\(15\) 75.5165 + 71.0301i 1.29988 + 1.22266i
\(16\) 37.1532 64.3512i 0.580519 1.00549i
\(17\) −21.4747 −0.306375 −0.153187 0.988197i \(-0.548954\pi\)
−0.153187 + 0.988197i \(0.548954\pi\)
\(18\) −102.217 + 6.26447i −1.33848 + 0.0820306i
\(19\) 97.3022i 1.17488i 0.809269 + 0.587438i \(0.199864\pi\)
−0.809269 + 0.587438i \(0.800136\pi\)
\(20\) 63.7074 110.345i 0.712271 1.23369i
\(21\) −6.47004 96.0163i −0.0672323 0.997737i
\(22\) −68.2518 118.216i −0.661424 1.14562i
\(23\) −35.6964 + 20.6094i −0.323618 + 0.186841i −0.653004 0.757354i \(-0.726492\pi\)
0.329386 + 0.944195i \(0.393158\pi\)
\(24\) −9.16851 30.4568i −0.0779798 0.259041i
\(25\) −136.537 + 236.489i −1.09230 + 1.89191i
\(26\) −28.9050 −0.218028
\(27\) −89.6909 + 107.882i −0.639297 + 0.768960i
\(28\) −113.043 + 34.7800i −0.762971 + 0.234743i
\(29\) −51.8612 29.9421i −0.332082 0.191728i 0.324683 0.945823i \(-0.394742\pi\)
−0.656765 + 0.754095i \(0.728076\pi\)
\(30\) −113.348 376.530i −0.689813 2.29149i
\(31\) 61.1449 35.3020i 0.354256 0.204530i −0.312302 0.949983i \(-0.601100\pi\)
0.666558 + 0.745453i \(0.267767\pi\)
\(32\) −201.669 + 116.434i −1.11407 + 0.643211i
\(33\) −182.030 42.8505i −0.960222 0.226040i
\(34\) 70.5390 + 40.7257i 0.355804 + 0.205423i
\(35\) 353.175 108.661i 1.70564 0.524773i
\(36\) 154.319 + 76.9169i 0.714440 + 0.356097i
\(37\) 355.309 1.57872 0.789358 0.613933i \(-0.210414\pi\)
0.789358 + 0.613933i \(0.210414\pi\)
\(38\) 184.529 319.614i 0.787752 1.36443i
\(39\) −27.1307 + 28.8443i −0.111394 + 0.118430i
\(40\) 105.768 61.0649i 0.418083 0.241380i
\(41\) 7.30794 + 12.6577i 0.0278368 + 0.0482147i 0.879608 0.475699i \(-0.157805\pi\)
−0.851771 + 0.523914i \(0.824471\pi\)
\(42\) −160.838 + 327.660i −0.590901 + 1.20379i
\(43\) −48.8575 + 84.6237i −0.173272 + 0.300116i −0.939562 0.342379i \(-0.888767\pi\)
0.766290 + 0.642495i \(0.222101\pi\)
\(44\) 229.832i 0.787465i
\(45\) −482.130 240.307i −1.59715 0.796063i
\(46\) 156.339 0.501106
\(47\) −234.897 + 406.853i −0.729005 + 1.26267i 0.228299 + 0.973591i \(0.426684\pi\)
−0.957304 + 0.289083i \(0.906650\pi\)
\(48\) −88.4728 + 375.834i −0.266041 + 1.13015i
\(49\) −308.817 149.268i −0.900342 0.435184i
\(50\) 896.982 517.873i 2.53705 1.46477i
\(51\) 106.849 32.1651i 0.293370 0.0883141i
\(52\) 42.1472 + 24.3337i 0.112399 + 0.0648938i
\(53\) 710.531i 1.84149i 0.390167 + 0.920744i \(0.372417\pi\)
−0.390167 + 0.920744i \(0.627583\pi\)
\(54\) 499.206 184.271i 1.25802 0.464374i
\(55\) 718.049i 1.76040i
\(56\) −110.506 25.3063i −0.263697 0.0603874i
\(57\) −145.741 484.136i −0.338664 1.12501i
\(58\) 113.568 + 196.705i 0.257106 + 0.445321i
\(59\) 232.735 + 403.109i 0.513551 + 0.889497i 0.999876 + 0.0157191i \(0.00500375\pi\)
−0.486325 + 0.873778i \(0.661663\pi\)
\(60\) −151.706 + 644.452i −0.326420 + 1.38664i
\(61\) 542.558 + 313.246i 1.13881 + 0.657492i 0.946136 0.323771i \(-0.104951\pi\)
0.192674 + 0.981263i \(0.438284\pi\)
\(62\) −267.794 −0.548547
\(63\) 176.007 + 468.047i 0.351982 + 0.936007i
\(64\) 288.792 0.564047
\(65\) −131.678 76.0243i −0.251271 0.145072i
\(66\) 516.659 + 485.964i 0.963580 + 0.906334i
\(67\) −262.327 454.364i −0.478334 0.828498i 0.521358 0.853338i \(-0.325426\pi\)
−0.999691 + 0.0248401i \(0.992092\pi\)
\(68\) −68.5700 118.767i −0.122284 0.211803i
\(69\) 146.742 156.011i 0.256024 0.272195i
\(70\) −1366.16 312.855i −2.33268 0.534190i
\(71\) 115.729i 0.193443i −0.995311 0.0967216i \(-0.969164\pi\)
0.995311 0.0967216i \(-0.0308356\pi\)
\(72\) 91.2376 + 137.808i 0.149340 + 0.225567i
\(73\) 708.180i 1.13543i 0.823226 + 0.567714i \(0.192172\pi\)
−0.823226 + 0.567714i \(0.807828\pi\)
\(74\) −1167.10 673.827i −1.83342 1.05852i
\(75\) 325.136 1381.18i 0.500579 2.12647i
\(76\) −538.135 + 310.692i −0.812215 + 0.468933i
\(77\) −453.708 + 488.273i −0.671491 + 0.722648i
\(78\) 143.819 43.2944i 0.208774 0.0628477i
\(79\) 128.747 222.997i 0.183357 0.317584i −0.759665 0.650315i \(-0.774637\pi\)
0.943022 + 0.332731i \(0.107970\pi\)
\(80\) −1482.55 −2.07192
\(81\) 284.678 671.118i 0.390504 0.920601i
\(82\) 55.4366i 0.0746579i
\(83\) 200.583 347.420i 0.265263 0.459449i −0.702370 0.711812i \(-0.747875\pi\)
0.967632 + 0.252364i \(0.0812079\pi\)
\(84\) 510.364 342.369i 0.662920 0.444709i
\(85\) 214.229 + 371.056i 0.273370 + 0.473490i
\(86\) 320.970 185.312i 0.402454 0.232357i
\(87\) 302.888 + 71.3010i 0.373253 + 0.0878652i
\(88\) −110.149 + 190.784i −0.133431 + 0.231110i
\(89\) −977.834 −1.16461 −0.582304 0.812971i \(-0.697849\pi\)
−0.582304 + 0.812971i \(0.697849\pi\)
\(90\) 1127.95 + 1703.68i 1.32107 + 1.99538i
\(91\) 41.5042 + 134.899i 0.0478112 + 0.155398i
\(92\) −227.962 131.614i −0.258334 0.149149i
\(93\) −251.356 + 267.233i −0.280263 + 0.297965i
\(94\) 1543.16 890.942i 1.69324 0.977592i
\(95\) 1681.26 970.677i 1.81573 1.04831i
\(96\) 829.026 881.389i 0.881376 0.937046i
\(97\) −521.193 300.911i −0.545558 0.314978i 0.201770 0.979433i \(-0.435330\pi\)
−0.747328 + 0.664455i \(0.768664\pi\)
\(98\) 731.308 + 1075.97i 0.753809 + 1.10907i
\(99\) 969.889 59.4408i 0.984621 0.0603437i
\(100\) −1743.89 −1.74389
\(101\) 212.644 368.310i 0.209494 0.362853i −0.742062 0.670332i \(-0.766152\pi\)
0.951555 + 0.307478i \(0.0994851\pi\)
\(102\) −411.973 96.9800i −0.399916 0.0941417i
\(103\) −657.161 + 379.412i −0.628660 + 0.362957i −0.780233 0.625489i \(-0.784899\pi\)
0.151573 + 0.988446i \(0.451566\pi\)
\(104\) 23.3244 + 40.3990i 0.0219918 + 0.0380909i
\(105\) −1594.50 + 1069.64i −1.48197 + 0.994158i
\(106\) 1347.49 2333.92i 1.23471 2.13859i
\(107\) 866.455i 0.782835i −0.920213 0.391418i \(-0.871985\pi\)
0.920213 0.391418i \(-0.128015\pi\)
\(108\) −883.037 151.566i −0.786761 0.135041i
\(109\) −94.9205 −0.0834104 −0.0417052 0.999130i \(-0.513279\pi\)
−0.0417052 + 0.999130i \(0.513279\pi\)
\(110\) −1361.75 + 2358.61i −1.18034 + 2.04441i
\(111\) −1767.87 + 532.189i −1.51170 + 0.455073i
\(112\) 1008.13 + 936.763i 0.850530 + 0.790320i
\(113\) −1432.66 + 827.148i −1.19269 + 0.688597i −0.958915 0.283694i \(-0.908440\pi\)
−0.233771 + 0.972292i \(0.575107\pi\)
\(114\) −439.419 + 1866.66i −0.361012 + 1.53358i
\(115\) 712.208 + 411.194i 0.577511 + 0.333426i
\(116\) 382.428i 0.306100i
\(117\) 91.7877 184.154i 0.0725280 0.145513i
\(118\) 1765.48i 1.37734i
\(119\) 88.7800 387.681i 0.0683903 0.298644i
\(120\) −434.792 + 462.255i −0.330758 + 0.351649i
\(121\) −17.8889 30.9845i −0.0134402 0.0232791i
\(122\) −1188.11 2057.87i −0.881693 1.52714i
\(123\) −55.3203 52.0337i −0.0405534 0.0381441i
\(124\) 390.479 + 225.443i 0.282791 + 0.163269i
\(125\) 2954.35 2.11396
\(126\) 309.489 1871.21i 0.218821 1.32302i
\(127\) −280.600 −0.196057 −0.0980284 0.995184i \(-0.531254\pi\)
−0.0980284 + 0.995184i \(0.531254\pi\)
\(128\) 664.740 + 383.788i 0.459026 + 0.265019i
\(129\) 116.344 494.233i 0.0794073 0.337324i
\(130\) 288.353 + 499.442i 0.194540 + 0.336954i
\(131\) 1095.66 + 1897.74i 0.730751 + 1.26570i 0.956563 + 0.291527i \(0.0941632\pi\)
−0.225812 + 0.974171i \(0.572503\pi\)
\(132\) −344.246 1143.55i −0.226991 0.754040i
\(133\) −1756.59 402.264i −1.14523 0.262261i
\(134\) 1989.96i 1.28289i
\(135\) 2758.82 + 473.527i 1.75882 + 0.301887i
\(136\) 131.452i 0.0828815i
\(137\) 985.315 + 568.872i 0.614461 + 0.354759i 0.774709 0.632318i \(-0.217896\pi\)
−0.160248 + 0.987077i \(0.551230\pi\)
\(138\) −777.878 + 234.167i −0.479836 + 0.144446i
\(139\) −1842.29 + 1063.64i −1.12418 + 0.649044i −0.942464 0.334308i \(-0.891498\pi\)
−0.181713 + 0.983352i \(0.558164\pi\)
\(140\) 1728.67 + 1606.29i 1.04356 + 0.969688i
\(141\) 559.359 2376.17i 0.334089 1.41922i
\(142\) −219.474 + 380.140i −0.129703 + 0.224652i
\(143\) 274.266 0.160387
\(144\) −122.727 2002.51i −0.0710223 1.15886i
\(145\) 1194.80i 0.684293i
\(146\) 1343.03 2326.20i 0.761301 1.31861i
\(147\) 1760.13 + 280.145i 0.987569 + 0.157183i
\(148\) 1134.53 + 1965.06i 0.630118 + 1.09140i
\(149\) −362.688 + 209.398i −0.199413 + 0.115131i −0.596382 0.802701i \(-0.703395\pi\)
0.396969 + 0.917832i \(0.370062\pi\)
\(150\) −3687.34 + 3920.24i −2.00713 + 2.13391i
\(151\) 475.546 823.669i 0.256287 0.443902i −0.708957 0.705252i \(-0.750834\pi\)
0.965244 + 0.261349i \(0.0841674\pi\)
\(152\) −595.611 −0.317832
\(153\) −483.461 + 320.081i −0.255461 + 0.169131i
\(154\) 2416.30 743.422i 1.26436 0.389004i
\(155\) −1219.95 704.339i −0.632186 0.364993i
\(156\) −246.155 57.9458i −0.126334 0.0297396i
\(157\) 1885.26 1088.45i 0.958343 0.553300i 0.0626806 0.998034i \(-0.480035\pi\)
0.895663 + 0.444734i \(0.146702\pi\)
\(158\) −845.807 + 488.327i −0.425878 + 0.245881i
\(159\) −1064.25 3535.31i −0.530819 1.76332i
\(160\) 4023.66 + 2323.06i 1.98811 + 1.14784i
\(161\) −224.484 729.628i −0.109887 0.357160i
\(162\) −2207.84 + 1664.58i −1.07077 + 0.807294i
\(163\) −382.330 −0.183720 −0.0918601 0.995772i \(-0.529281\pi\)
−0.0918601 + 0.995772i \(0.529281\pi\)
\(164\) −46.6695 + 80.8339i −0.0222212 + 0.0384882i
\(165\) 1075.51 + 3572.72i 0.507443 + 1.68567i
\(166\) −1317.73 + 760.792i −0.616118 + 0.355716i
\(167\) −123.092 213.202i −0.0570370 0.0987909i 0.836097 0.548582i \(-0.184832\pi\)
−0.893134 + 0.449791i \(0.851499\pi\)
\(168\) 587.740 39.6047i 0.269911 0.0181879i
\(169\) −1069.46 + 1852.36i −0.486783 + 0.843132i
\(170\) 1625.10i 0.733174i
\(171\) 1450.30 + 2190.57i 0.648579 + 0.979633i
\(172\) −624.021 −0.276635
\(173\) 1988.82 3444.74i 0.874031 1.51387i 0.0162391 0.999868i \(-0.494831\pi\)
0.857792 0.513998i \(-0.171836\pi\)
\(174\) −859.694 808.620i −0.374559 0.352306i
\(175\) −3704.86 3442.59i −1.60035 1.48706i
\(176\) 2315.95 1337.11i 0.991882 0.572663i
\(177\) −1761.78 1657.11i −0.748155 0.703707i
\(178\) 3211.94 + 1854.42i 1.35250 + 0.780867i
\(179\) 1454.87i 0.607498i 0.952752 + 0.303749i \(0.0982384\pi\)
−0.952752 + 0.303749i \(0.901762\pi\)
\(180\) −210.442 3433.76i −0.0871413 1.42187i
\(181\) 735.896i 0.302203i 0.988518 + 0.151101i \(0.0482820\pi\)
−0.988518 + 0.151101i \(0.951718\pi\)
\(182\) 119.498 521.820i 0.0486692 0.212527i
\(183\) −3168.73 745.931i −1.28000 0.301316i
\(184\) −126.155 218.507i −0.0505449 0.0875463i
\(185\) −3544.53 6139.31i −1.40864 2.43984i
\(186\) 1332.44 401.107i 0.525263 0.158122i
\(187\) −669.313 386.428i −0.261738 0.151115i
\(188\) −3000.17 −1.16388
\(189\) −1576.79 2065.19i −0.606850 0.794816i
\(190\) −7363.38 −2.81155
\(191\) 2390.26 + 1380.02i 0.905515 + 0.522799i 0.878985 0.476849i \(-0.158221\pi\)
0.0265297 + 0.999648i \(0.491554\pi\)
\(192\) −1436.91 + 432.558i −0.540105 + 0.162589i
\(193\) −616.442 1067.71i −0.229909 0.398214i 0.727872 0.685713i \(-0.240510\pi\)
−0.957781 + 0.287499i \(0.907176\pi\)
\(194\) 1141.33 + 1976.84i 0.422384 + 0.731590i
\(195\) 769.047 + 181.037i 0.282424 + 0.0664836i
\(196\) −160.539 2184.55i −0.0585055 0.796120i
\(197\) 497.068i 0.179770i 0.995952 + 0.0898849i \(0.0286499\pi\)
−0.995952 + 0.0898849i \(0.971350\pi\)
\(198\) −3298.57 1644.10i −1.18394 0.590106i
\(199\) 4502.53i 1.60390i 0.597391 + 0.801950i \(0.296204\pi\)
−0.597391 + 0.801950i \(0.703796\pi\)
\(200\) −1447.61 835.778i −0.511807 0.295492i
\(201\) 1985.79 + 1867.81i 0.696849 + 0.655449i
\(202\) −1396.96 + 806.538i −0.486585 + 0.280930i
\(203\) 754.946 812.462i 0.261019 0.280905i
\(204\) 519.068 + 488.230i 0.178147 + 0.167563i
\(205\) 145.807 252.544i 0.0496759 0.0860413i
\(206\) 2878.15 0.973447
\(207\) −496.453 + 996.038i −0.166695 + 0.334442i
\(208\) 566.274i 0.188769i
\(209\) −1750.91 + 3032.67i −0.579489 + 1.00371i
\(210\) 7266.07 489.622i 2.38765 0.160891i
\(211\) 1714.83 + 2970.17i 0.559495 + 0.969074i 0.997539 + 0.0701201i \(0.0223383\pi\)
−0.438043 + 0.898954i \(0.644328\pi\)
\(212\) −3929.63 + 2268.77i −1.27306 + 0.734999i
\(213\) 173.340 + 575.819i 0.0557610 + 0.185232i
\(214\) −1643.19 + 2846.09i −0.524889 + 0.909134i
\(215\) 1949.59 0.618424
\(216\) −660.373 549.020i −0.208022 0.172945i
\(217\) 384.522 + 1249.79i 0.120290 + 0.390974i
\(218\) 311.790 + 180.012i 0.0968675 + 0.0559265i
\(219\) −1060.72 3523.62i −0.327293 1.08723i
\(220\) 3971.21 2292.78i 1.21700 0.702632i
\(221\) −141.729 + 81.8270i −0.0431389 + 0.0249063i
\(222\) 6816.30 + 1604.58i 2.06072 + 0.485102i
\(223\) −2145.46 1238.68i −0.644263 0.371965i 0.141992 0.989868i \(-0.454649\pi\)
−0.786255 + 0.617903i \(0.787983\pi\)
\(224\) −1268.23 4122.07i −0.378292 1.22954i
\(225\) 451.018 + 7359.20i 0.133635 + 2.18050i
\(226\) 6274.59 1.84681
\(227\) 84.0252 145.536i 0.0245681 0.0425531i −0.853480 0.521126i \(-0.825512\pi\)
0.878048 + 0.478573i \(0.158846\pi\)
\(228\) 2212.18 2351.91i 0.642567 0.683153i
\(229\) −989.455 + 571.262i −0.285524 + 0.164847i −0.635922 0.771754i \(-0.719380\pi\)
0.350397 + 0.936601i \(0.386047\pi\)
\(230\) −1559.62 2701.34i −0.447123 0.774439i
\(231\) 1526.12 3109.02i 0.434681 0.885535i
\(232\) 183.283 317.455i 0.0518669 0.0898361i
\(233\) 2181.50i 0.613370i −0.951811 0.306685i \(-0.900780\pi\)
0.951811 0.306685i \(-0.0992198\pi\)
\(234\) −650.740 + 430.831i −0.181796 + 0.120360i
\(235\) 9373.23 2.60188
\(236\) −1486.28 + 2574.31i −0.409951 + 0.710056i
\(237\) −306.586 + 1302.38i −0.0840291 + 0.356957i
\(238\) −1026.84 + 1105.07i −0.279664 + 0.300970i
\(239\) −1654.14 + 955.020i −0.447689 + 0.258473i −0.706854 0.707360i \(-0.749886\pi\)
0.259165 + 0.965833i \(0.416553\pi\)
\(240\) 7376.55 2220.58i 1.98398 0.597242i
\(241\) −1962.89 1133.28i −0.524651 0.302907i 0.214184 0.976793i \(-0.431291\pi\)
−0.738836 + 0.673886i \(0.764624\pi\)
\(242\) 135.702i 0.0360464i
\(243\) −411.228 + 3765.61i −0.108561 + 0.994090i
\(244\) 4000.86i 1.04971i
\(245\) 501.563 + 6825.06i 0.130791 + 1.77974i
\(246\) 83.0340 + 275.830i 0.0215205 + 0.0714890i
\(247\) 370.760 + 642.176i 0.0955098 + 0.165428i
\(248\) 216.092 + 374.283i 0.0553302 + 0.0958346i
\(249\) −477.647 + 2029.06i −0.121565 + 0.516410i
\(250\) −9704.31 5602.79i −2.45502 1.41741i
\(251\) −315.743 −0.0794004 −0.0397002 0.999212i \(-0.512640\pi\)
−0.0397002 + 0.999212i \(0.512640\pi\)
\(252\) −2026.56 + 2467.92i −0.506592 + 0.616923i
\(253\) −1483.43 −0.368626
\(254\) 921.702 + 532.145i 0.227688 + 0.131456i
\(255\) −1621.69 1525.35i −0.398252 0.374592i
\(256\) −2610.84 4522.11i −0.637412 1.10403i
\(257\) 2047.88 + 3547.03i 0.497055 + 0.860924i 0.999994 0.00339730i \(-0.00108139\pi\)
−0.502939 + 0.864322i \(0.667748\pi\)
\(258\) −1319.45 + 1402.79i −0.318393 + 0.338504i
\(259\) −1468.91 + 6414.38i −0.352408 + 1.53888i
\(260\) 971.003i 0.231612i
\(261\) −1613.85 + 98.9065i −0.382738 + 0.0234566i
\(262\) 8311.48i 1.95987i
\(263\) 4270.21 + 2465.41i 1.00119 + 0.578036i 0.908600 0.417668i \(-0.137153\pi\)
0.0925883 + 0.995704i \(0.470486\pi\)
\(264\) 262.298 1114.25i 0.0611490 0.259762i
\(265\) 12277.1 7088.18i 2.84595 1.64311i
\(266\) 5007.09 + 4652.63i 1.15415 + 1.07245i
\(267\) 4865.30 1464.62i 1.11518 0.335705i
\(268\) 1675.26 2901.63i 0.381838 0.661362i
\(269\) −5506.26 −1.24804 −0.624019 0.781409i \(-0.714501\pi\)
−0.624019 + 0.781409i \(0.714501\pi\)
\(270\) −8164.01 6787.38i −1.84017 1.52988i
\(271\) 7622.48i 1.70861i −0.519774 0.854304i \(-0.673984\pi\)
0.519774 0.854304i \(-0.326016\pi\)
\(272\) −797.852 + 1381.92i −0.177856 + 0.308056i
\(273\) −408.562 609.036i −0.0905761 0.135020i
\(274\) −2157.68 3737.21i −0.475730 0.823989i
\(275\) −8511.06 + 4913.86i −1.86631 + 1.07752i
\(276\) 1331.38 + 313.412i 0.290361 + 0.0683522i
\(277\) −1811.14 + 3136.99i −0.392856 + 0.680446i −0.992825 0.119577i \(-0.961846\pi\)
0.599969 + 0.800023i \(0.295179\pi\)
\(278\) 8068.60 1.74073
\(279\) 850.381 1706.13i 0.182477 0.366104i
\(280\) 665.140 + 2161.87i 0.141963 + 0.461416i
\(281\) −1888.83 1090.51i −0.400989 0.231511i 0.285922 0.958253i \(-0.407700\pi\)
−0.686911 + 0.726742i \(0.741034\pi\)
\(282\) −6343.65 + 6744.33i −1.33957 + 1.42418i
\(283\) −1985.61 + 1146.39i −0.417075 + 0.240799i −0.693825 0.720143i \(-0.744076\pi\)
0.276750 + 0.960942i \(0.410743\pi\)
\(284\) 640.043 369.529i 0.133731 0.0772096i
\(285\) −6911.38 + 7347.92i −1.43647 + 1.52720i
\(286\) −900.897 520.133i −0.186263 0.107539i
\(287\) −258.721 + 79.6005i −0.0532120 + 0.0163717i
\(288\) −2804.74 + 5627.17i −0.573856 + 1.15133i
\(289\) −4451.84 −0.906134
\(290\) 2265.88 3924.61i 0.458817 0.794694i
\(291\) 3043.95 + 716.558i 0.613195 + 0.144348i
\(292\) −3916.63 + 2261.27i −0.784943 + 0.453187i
\(293\) 273.105 + 473.031i 0.0544537 + 0.0943166i 0.891967 0.452100i \(-0.149325\pi\)
−0.837514 + 0.546416i \(0.815992\pi\)
\(294\) −5250.29 4258.20i −1.04151 0.844705i
\(295\) 4643.48 8042.75i 0.916455 1.58735i
\(296\) 2174.94i 0.427080i
\(297\) −4736.74 + 1748.47i −0.925433 + 0.341604i
\(298\) 1588.45 0.308780
\(299\) −157.060 + 272.035i −0.0303779 + 0.0526161i
\(300\) 8676.89 2612.03i 1.66987 0.502685i
\(301\) −1325.72 1231.87i −0.253865 0.235893i
\(302\) −3124.10 + 1803.70i −0.595271 + 0.343680i
\(303\) −506.368 + 2151.06i −0.0960069 + 0.407839i
\(304\) 6261.52 + 3615.09i 1.18132 + 0.682038i
\(305\) 12499.6i 2.34665i
\(306\) 2195.07 134.528i 0.410078 0.0251321i
\(307\) 6193.21i 1.15135i −0.817677 0.575677i \(-0.804739\pi\)
0.817677 0.575677i \(-0.195261\pi\)
\(308\) −4149.14 950.165i −0.767595 0.175781i
\(309\) 2701.48 2872.11i 0.497351 0.528765i
\(310\) 2671.49 + 4627.16i 0.489453 + 0.847758i
\(311\) 2335.25 + 4044.78i 0.425788 + 0.737486i 0.996494 0.0836685i \(-0.0266637\pi\)
−0.570706 + 0.821155i \(0.693330\pi\)
\(312\) −176.563 166.073i −0.0320382 0.0301348i
\(313\) −2218.64 1280.93i −0.400655 0.231318i 0.286112 0.958196i \(-0.407637\pi\)
−0.686767 + 0.726878i \(0.740971\pi\)
\(314\) −8256.81 −1.48394
\(315\) 6331.45 7710.38i 1.13250 1.37915i
\(316\) 1644.40 0.292736
\(317\) 2351.36 + 1357.56i 0.416611 + 0.240530i 0.693626 0.720335i \(-0.256012\pi\)
−0.277015 + 0.960865i \(0.589345\pi\)
\(318\) −3208.77 + 13630.9i −0.565845 + 2.40372i
\(319\) −1077.59 1866.44i −0.189133 0.327589i
\(320\) −2880.96 4989.97i −0.503283 0.871712i
\(321\) 1297.79 + 4311.13i 0.225656 + 0.749607i
\(322\) −646.331 + 2822.37i −0.111859 + 0.488462i
\(323\) 2089.53i 0.359953i
\(324\) 4620.65 568.500i 0.792292 0.0974794i
\(325\) 2081.04i 0.355186i
\(326\) 1255.86 + 725.070i 0.213361 + 0.123184i
\(327\) 472.286 142.174i 0.0798700 0.0240435i
\(328\) −77.4810 + 44.7337i −0.0130432 + 0.00753050i
\(329\) −6373.79 5922.58i −1.06808 0.992470i
\(330\) 3242.72 13775.2i 0.540927 2.29787i
\(331\) −2272.97 + 3936.89i −0.377443 + 0.653750i −0.990689 0.136142i \(-0.956530\pi\)
0.613247 + 0.789891i \(0.289863\pi\)
\(332\) 2561.90 0.423501
\(333\) 7999.11 5295.91i 1.31636 0.871514i
\(334\) 933.756i 0.152973i
\(335\) −5233.90 + 9065.38i −0.853607 + 1.47849i
\(336\) −6419.15 3150.96i −1.04224 0.511604i
\(337\) 3627.36 + 6282.78i 0.586336 + 1.01556i 0.994707 + 0.102747i \(0.0327634\pi\)
−0.408372 + 0.912816i \(0.633903\pi\)
\(338\) 7025.83 4056.37i 1.13064 0.652773i
\(339\) 5889.43 6261.42i 0.943569 1.00317i
\(340\) −1368.10 + 2369.61i −0.218222 + 0.377971i
\(341\) 2540.98 0.403525
\(342\) −609.547 9945.91i −0.0963759 1.57255i
\(343\) 3971.43 4957.96i 0.625181 0.780480i
\(344\) −518.003 299.069i −0.0811885 0.0468742i
\(345\) −4159.55 979.175i −0.649110 0.152803i
\(346\) −13065.6 + 7543.41i −2.03009 + 1.17207i
\(347\) −7611.25 + 4394.36i −1.17750 + 0.679832i −0.955436 0.295200i \(-0.904614\pi\)
−0.222067 + 0.975031i \(0.571280\pi\)
\(348\) 572.808 + 1902.81i 0.0882349 + 0.293107i
\(349\) 6314.40 + 3645.62i 0.968487 + 0.559156i 0.898775 0.438411i \(-0.144459\pi\)
0.0697122 + 0.997567i \(0.477792\pi\)
\(350\) 5640.84 + 18334.1i 0.861474 + 2.80000i
\(351\) −180.868 + 1053.76i −0.0275044 + 0.160244i
\(352\) −8380.70 −1.26901
\(353\) 5012.28 8681.52i 0.755741 1.30898i −0.189264 0.981926i \(-0.560610\pi\)
0.945005 0.327056i \(-0.106057\pi\)
\(354\) 2644.37 + 8784.34i 0.397025 + 1.31888i
\(355\) −1999.65 + 1154.50i −0.298959 + 0.172604i
\(356\) −3122.29 5407.96i −0.464834 0.805116i
\(357\) 138.942 + 2061.92i 0.0205983 + 0.305682i
\(358\) 2759.09 4778.89i 0.407326 0.705509i
\(359\) 11205.2i 1.64732i −0.567083 0.823660i \(-0.691928\pi\)
0.567083 0.823660i \(-0.308072\pi\)
\(360\) 1470.98 2951.23i 0.215354 0.432066i
\(361\) −2608.72 −0.380336
\(362\) 1395.59 2417.24i 0.202626 0.350959i
\(363\) 135.417 + 127.372i 0.0195800 + 0.0184168i
\(364\) −613.539 + 660.282i −0.0883467 + 0.0950773i
\(365\) 12236.5 7064.73i 1.75476 1.01311i
\(366\) 8993.88 + 8459.55i 1.28447 + 1.20816i
\(367\) 2597.53 + 1499.68i 0.369455 + 0.213305i 0.673220 0.739442i \(-0.264911\pi\)
−0.303766 + 0.952747i \(0.598244\pi\)
\(368\) 3062.81i 0.433859i
\(369\) 353.188 + 176.039i 0.0498272 + 0.0248353i
\(370\) 26888.1i 3.77797i
\(371\) −12827.2 2937.46i −1.79502 0.411065i
\(372\) −2280.54 536.848i −0.317851 0.0748233i
\(373\) −2052.54 3555.11i −0.284924 0.493503i 0.687667 0.726026i \(-0.258635\pi\)
−0.972591 + 0.232524i \(0.925302\pi\)
\(374\) 1465.68 + 2538.64i 0.202644 + 0.350989i
\(375\) −14699.7 + 4425.08i −2.02423 + 0.609360i
\(376\) −2490.45 1437.86i −0.341583 0.197213i
\(377\) −456.365 −0.0623449
\(378\) 1262.84 + 9773.94i 0.171834 + 1.32994i
\(379\) −2051.20 −0.278002 −0.139001 0.990292i \(-0.544389\pi\)
−0.139001 + 0.990292i \(0.544389\pi\)
\(380\) 10736.8 + 6198.87i 1.44943 + 0.836830i
\(381\) 1396.15 420.288i 0.187735 0.0565144i
\(382\) −5234.28 9066.04i −0.701071 1.21429i
\(383\) −2786.12 4825.70i −0.371708 0.643817i 0.618120 0.786083i \(-0.287894\pi\)
−0.989828 + 0.142266i \(0.954561\pi\)
\(384\) −3882.32 913.914i −0.515935 0.121453i
\(385\) 12962.9 + 2968.54i 1.71598 + 0.392963i
\(386\) 4676.21i 0.616614i
\(387\) 161.389 + 2633.37i 0.0211986 + 0.345895i
\(388\) 3843.31i 0.502873i
\(389\) 1483.30 + 856.385i 0.193333 + 0.111621i 0.593542 0.804803i \(-0.297729\pi\)
−0.400209 + 0.916424i \(0.631063\pi\)
\(390\) −2182.80 2053.12i −0.283411 0.266574i
\(391\) 766.569 442.579i 0.0991485 0.0572434i
\(392\) 913.706 1890.35i 0.117727 0.243563i
\(393\) −8294.04 7801.29i −1.06458 1.00133i
\(394\) 942.667 1632.75i 0.120535 0.208773i
\(395\) −5137.48 −0.654417
\(396\) 3425.66 + 5174.22i 0.434712 + 0.656602i
\(397\) 5977.49i 0.755672i 0.925872 + 0.377836i \(0.123332\pi\)
−0.925872 + 0.377836i \(0.876668\pi\)
\(398\) 8538.84 14789.7i 1.07541 1.86267i
\(399\) 9342.60 629.550i 1.17222 0.0789897i
\(400\) 10145.6 + 17572.7i 1.26820 + 2.19658i
\(401\) 2620.36 1512.86i 0.326320 0.188401i −0.327886 0.944717i \(-0.606336\pi\)
0.654206 + 0.756316i \(0.273003\pi\)
\(402\) −2980.60 9901.25i −0.369798 1.22843i
\(403\) 269.030 465.973i 0.0332539 0.0575974i
\(404\) 2715.94 0.334463
\(405\) −14436.0 + 1776.13i −1.77119 + 0.217917i
\(406\) −4020.61 + 1237.02i −0.491476 + 0.151212i
\(407\) 11074.1 + 6393.65i 1.34871 + 0.778676i
\(408\) 196.891 + 654.050i 0.0238910 + 0.0793635i
\(409\) 9538.96 5507.32i 1.15323 0.665818i 0.203558 0.979063i \(-0.434750\pi\)
0.949672 + 0.313245i \(0.101416\pi\)
\(410\) −957.877 + 553.030i −0.115381 + 0.0666152i
\(411\) −5754.59 1354.65i −0.690640 0.162579i
\(412\) −4196.72 2422.98i −0.501838 0.289736i
\(413\) −8239.47 + 2535.03i −0.981690 + 0.302035i
\(414\) 3519.67 2330.24i 0.417831 0.276630i
\(415\) −8003.98 −0.946746
\(416\) −887.316 + 1536.88i −0.104578 + 0.181134i
\(417\) 7573.32 8051.67i 0.889370 0.945544i
\(418\) 11502.6 6641.05i 1.34596 0.777092i
\(419\) 5849.85 + 10132.2i 0.682062 + 1.18137i 0.974351 + 0.225036i \(0.0722499\pi\)
−0.292289 + 0.956330i \(0.594417\pi\)
\(420\) −11007.1 5403.02i −1.27879 0.627715i
\(421\) 3481.75 6030.57i 0.403064 0.698128i −0.591030 0.806650i \(-0.701278\pi\)
0.994094 + 0.108522i \(0.0346117\pi\)
\(422\) 13008.3i 1.50056i
\(423\) 775.925 + 12660.7i 0.0891886 + 1.45528i
\(424\) −4349.33 −0.498166
\(425\) 2932.09 5078.53i 0.334652 0.579635i
\(426\) 522.633 2220.15i 0.0594405 0.252504i
\(427\) −7898.04 + 8499.75i −0.895112 + 0.963306i
\(428\) 4791.98 2766.65i 0.541189 0.312456i
\(429\) −1364.64 + 410.801i −0.153579 + 0.0462323i
\(430\) −6403.93 3697.31i −0.718197 0.414651i
\(431\) 12686.3i 1.41781i 0.705305 + 0.708904i \(0.250810\pi\)
−0.705305 + 0.708904i \(0.749190\pi\)
\(432\) 3610.04 + 9779.88i 0.402056 + 1.08920i
\(433\) 12891.4i 1.43077i −0.698730 0.715385i \(-0.746251\pi\)
0.698730 0.715385i \(-0.253749\pi\)
\(434\) 1107.11 4834.48i 0.122449 0.534706i
\(435\) −1789.59 5944.83i −0.197251 0.655248i
\(436\) −303.088 524.963i −0.0332919 0.0576632i
\(437\) −2005.34 3473.34i −0.219515 0.380212i
\(438\) −3198.15 + 13585.8i −0.348890 + 1.48209i
\(439\) 10467.6 + 6043.45i 1.13802 + 0.657035i 0.945939 0.324345i \(-0.105144\pi\)
0.192078 + 0.981380i \(0.438477\pi\)
\(440\) 4395.36 0.476228
\(441\) −9177.28 + 1242.46i −0.990960 + 0.134160i
\(442\) 620.724 0.0667983
\(443\) −8703.97 5025.24i −0.933495 0.538953i −0.0455796 0.998961i \(-0.514513\pi\)
−0.887915 + 0.460007i \(0.847847\pi\)
\(444\) −8588.24 8078.01i −0.917973 0.863436i
\(445\) 9754.77 + 16895.8i 1.03915 + 1.79986i
\(446\) 4698.20 + 8137.53i 0.498803 + 0.863953i
\(447\) 1490.95 1585.12i 0.157761 0.167726i
\(448\) −1193.92 + 5213.54i −0.125909 + 0.549814i
\(449\) 10044.6i 1.05575i 0.849321 + 0.527877i \(0.177012\pi\)
−0.849321 + 0.527877i \(0.822988\pi\)
\(450\) 12474.9 25028.5i 1.30683 2.62190i
\(451\) 526.014i 0.0549202i
\(452\) −9149.17 5282.27i −0.952081 0.549684i
\(453\) −1132.42 + 4810.53i −0.117452 + 0.498937i
\(454\) −552.004 + 318.700i −0.0570635 + 0.0329456i
\(455\) 1916.84 2062.88i 0.197501 0.212548i
\(456\) 2963.52 892.117i 0.304341 0.0916166i
\(457\) 7705.51 13346.3i 0.788727 1.36612i −0.138020 0.990430i \(-0.544074\pi\)
0.926747 0.375686i \(-0.122593\pi\)
\(458\) 4333.49 0.442119
\(459\) 1926.08 2316.73i 0.195864 0.235590i
\(460\) 5251.88i 0.532326i
\(461\) 2887.34 5001.02i 0.291707 0.505251i −0.682506 0.730880i \(-0.739110\pi\)
0.974214 + 0.225628i \(0.0724434\pi\)
\(462\) −10909.0 + 7318.15i −1.09856 + 0.736951i
\(463\) −4764.84 8252.94i −0.478274 0.828395i 0.521416 0.853303i \(-0.325404\pi\)
−0.999690 + 0.0249078i \(0.992071\pi\)
\(464\) −3853.62 + 2224.89i −0.385560 + 0.222603i
\(465\) 7124.95 + 1677.24i 0.710563 + 0.167269i
\(466\) −4137.12 + 7165.70i −0.411263 + 0.712328i
\(467\) 8268.97 0.819363 0.409681 0.912229i \(-0.365640\pi\)
0.409681 + 0.912229i \(0.365640\pi\)
\(468\) 1311.56 80.3806i 0.129545 0.00793930i
\(469\) 9287.11 2857.35i 0.914368 0.281323i
\(470\) −30788.8 17775.9i −3.02166 1.74456i
\(471\) −7749.97 + 8239.48i −0.758174 + 0.806062i
\(472\) −2467.53 + 1424.63i −0.240630 + 0.138928i
\(473\) −3045.54 + 1758.34i −0.296055 + 0.170928i
\(474\) 3476.97 3696.58i 0.336925 0.358206i
\(475\) −23010.9 13285.4i −2.22277 1.28332i
\(476\) 2427.57 746.888i 0.233755 0.0719192i
\(477\) 10590.5 + 15996.2i 1.01657 + 1.53547i
\(478\) 7244.60 0.693222
\(479\) −7295.72 + 12636.6i −0.695929 + 1.20538i 0.273938 + 0.961747i \(0.411674\pi\)
−0.969867 + 0.243637i \(0.921660\pi\)
\(480\) −23499.6 5531.89i −2.23459 0.526032i
\(481\) 2344.97 1353.87i 0.222290 0.128339i
\(482\) 4298.41 + 7445.06i 0.406197 + 0.703554i
\(483\) 2209.79 + 3294.10i 0.208176 + 0.310324i
\(484\) 114.241 197.871i 0.0107288 0.0185829i
\(485\) 12007.4i 1.12418i
\(486\) 8492.08 11589.2i 0.792610 1.08168i
\(487\) −14380.5 −1.33807 −0.669036 0.743230i \(-0.733293\pi\)
−0.669036 + 0.743230i \(0.733293\pi\)
\(488\) −1917.45 + 3321.13i −0.177867 + 0.308075i
\(489\) 1902.32 572.661i 0.175922 0.0529583i
\(490\) 11295.9 23369.8i 1.04142 2.15457i
\(491\) −512.614 + 295.958i −0.0471160 + 0.0272024i −0.523373 0.852104i \(-0.675327\pi\)
0.476257 + 0.879306i \(0.341993\pi\)
\(492\) 111.134 472.099i 0.0101835 0.0432599i
\(493\) 1113.70 + 642.997i 0.101742 + 0.0587406i
\(494\) 2812.52i 0.256156i
\(495\) −10702.6 16165.5i −0.971808 1.46785i
\(496\) 5246.33i 0.474934i
\(497\) 2089.24 + 478.442i 0.188562 + 0.0431812i
\(498\) 5416.96 5759.11i 0.487429 0.518217i
\(499\) 2075.90 + 3595.56i 0.186232 + 0.322564i 0.943991 0.329971i \(-0.107039\pi\)
−0.757759 + 0.652535i \(0.773706\pi\)
\(500\) 9433.44 + 16339.2i 0.843752 + 1.46142i
\(501\) 931.796 + 876.438i 0.0830930 + 0.0781564i
\(502\) 1037.14 + 598.791i 0.0922105 + 0.0532378i
\(503\) 13272.2 1.17650 0.588248 0.808681i \(-0.299818\pi\)
0.588248 + 0.808681i \(0.299818\pi\)
\(504\) −2865.03 + 1077.38i −0.253212 + 0.0952192i
\(505\) −8485.25 −0.747701
\(506\) 4872.69 + 2813.25i 0.428098 + 0.247163i
\(507\) 2546.71 10818.5i 0.223083 0.947662i
\(508\) −895.974 1551.87i −0.0782528 0.135538i
\(509\) −7547.02 13071.8i −0.657202 1.13831i −0.981337 0.192296i \(-0.938407\pi\)
0.324135 0.946011i \(-0.394927\pi\)
\(510\) 2434.11 + 8085.85i 0.211341 + 0.702054i
\(511\) −12784.7 2927.74i −1.10678 0.253455i
\(512\) 13664.7i 1.17949i
\(513\) −10497.2 8727.12i −0.903433 0.751095i
\(514\) 15534.8i 1.33310i
\(515\) 13111.5 + 7569.95i 1.12187 + 0.647713i
\(516\) 3104.88 934.671i 0.264893 0.0797414i
\(517\) −14642.3 + 8453.75i −1.24559 + 0.719140i
\(518\) 16989.6 18283.9i 1.44108 1.55087i
\(519\) −4735.98 + 20118.5i −0.400552 + 1.70155i
\(520\) 465.364 806.033i 0.0392453 0.0679748i
\(521\) 5002.27 0.420640 0.210320 0.977633i \(-0.432549\pi\)
0.210320 + 0.977633i \(0.432549\pi\)
\(522\) 5488.65 + 2735.70i 0.460214 + 0.229384i
\(523\) 909.042i 0.0760031i −0.999278 0.0380016i \(-0.987901\pi\)
0.999278 0.0380016i \(-0.0120992\pi\)
\(524\) −6997.04 + 12119.2i −0.583334 + 1.01036i
\(525\) 23590.2 + 11579.7i 1.96107 + 0.962628i
\(526\) −9351.05 16196.5i −0.775143 1.34259i
\(527\) −1313.07 + 758.099i −0.108535 + 0.0626628i
\(528\) −9520.47 + 10121.8i −0.784707 + 0.834271i
\(529\) −5234.01 + 9065.57i −0.430181 + 0.745095i
\(530\) −53769.6 −4.40680
\(531\) 11248.0 + 5606.29i 0.919246 + 0.458178i
\(532\) −3384.17 10999.4i −0.275794 0.896398i
\(533\) 96.4619 + 55.6923i 0.00783908 + 0.00452589i
\(534\) −18758.9 4415.92i −1.52018 0.357856i
\(535\) −14971.3 + 8643.67i −1.20984 + 0.698502i
\(536\) 2781.27 1605.77i 0.224128 0.129400i
\(537\) −2179.13 7238.84i −0.175114 0.581712i
\(538\) 18086.7 + 10442.4i 1.44939 + 0.836807i
\(539\) −6939.06 10209.4i −0.554520 0.815860i
\(540\) 6190.22 + 16769.8i 0.493305 + 1.33640i
\(541\) 21816.1 1.73373 0.866865 0.498544i \(-0.166132\pi\)
0.866865 + 0.498544i \(0.166132\pi\)
\(542\) −14455.7 + 25038.0i −1.14562 + 1.98427i
\(543\) −1102.24 3661.52i −0.0871116 0.289376i
\(544\) 4330.77 2500.37i 0.341324 0.197063i
\(545\) 946.918 + 1640.11i 0.0744248 + 0.128907i
\(546\) 187.016 + 2775.35i 0.0146585 + 0.217535i
\(547\) 3976.21 6887.00i 0.310805 0.538330i −0.667732 0.744402i \(-0.732735\pi\)
0.978537 + 0.206072i \(0.0660680\pi\)
\(548\) 7265.78i 0.566385i
\(549\) 16883.6 1034.73i 1.31252 0.0804395i
\(550\) 37275.6 2.88989
\(551\) 2913.43 5046.21i 0.225257 0.390156i
\(552\) 954.979 + 898.244i 0.0736352 + 0.0692605i
\(553\) 3493.49 + 3246.18i 0.268640 + 0.249623i
\(554\) 11898.3 6869.49i 0.912474 0.526817i
\(555\) 26831.7 + 25237.6i 2.05215 + 1.93023i
\(556\) −11765.1 6792.57i −0.897393 0.518110i
\(557\) 16793.7i 1.27750i −0.769413 0.638752i \(-0.779451\pi\)
0.769413 0.638752i \(-0.220549\pi\)
\(558\) −6028.88 + 3991.50i −0.457389 + 0.302820i
\(559\) 744.667i 0.0563436i
\(560\) 6129.10 26764.3i 0.462503 2.01964i
\(561\) 3909.03 + 920.200i 0.294188 + 0.0692529i
\(562\) 4136.22 + 7164.14i 0.310455 + 0.537724i
\(563\) −3810.86 6600.60i −0.285273 0.494107i 0.687403 0.726277i \(-0.258751\pi\)
−0.972675 + 0.232170i \(0.925418\pi\)
\(564\) 14927.6 4493.70i 1.11448 0.335495i
\(565\) 28584.2 + 16503.1i 2.12840 + 1.22883i
\(566\) 8696.32 0.645819
\(567\) 10938.7 + 7913.79i 0.810201 + 0.586151i
\(568\) 708.403 0.0523309
\(569\) −2201.40 1270.98i −0.162193 0.0936420i 0.416707 0.909041i \(-0.363184\pi\)
−0.578899 + 0.815399i \(0.696518\pi\)
\(570\) 36637.2 11029.0i 2.69221 0.810445i
\(571\) −2123.22 3677.53i −0.155611 0.269527i 0.777670 0.628673i \(-0.216401\pi\)
−0.933281 + 0.359146i \(0.883068\pi\)
\(572\) 875.751 + 1516.84i 0.0640157 + 0.110878i
\(573\) −13960.0 3286.24i −1.01778 0.239589i
\(574\) 1000.79 + 229.185i 0.0727741 + 0.0166655i
\(575\) 11255.8i 0.816345i
\(576\) 6501.60 4304.46i 0.470312 0.311376i
\(577\) 26192.0i 1.88975i 0.327426 + 0.944877i \(0.393819\pi\)
−0.327426 + 0.944877i \(0.606181\pi\)
\(578\) 14623.2 + 8442.70i 1.05233 + 0.607561i
\(579\) 4666.40 + 4389.17i 0.334938 + 0.315039i
\(580\) −6607.89 + 3815.07i −0.473065 + 0.273124i
\(581\) 5442.70 + 5057.40i 0.388642 + 0.361130i
\(582\) −8639.72 8126.43i −0.615340 0.578783i
\(583\) −12785.7 + 22145.5i −0.908285 + 1.57320i
\(584\) −4334.94 −0.307160
\(585\) −4097.63 + 251.128i −0.289600 + 0.0177485i
\(586\) 2071.72i 0.146044i
\(587\) 1377.78 2386.39i 0.0968777 0.167797i −0.813513 0.581547i \(-0.802448\pi\)
0.910391 + 0.413750i \(0.135781\pi\)
\(588\) 4070.84 + 10629.0i 0.285508 + 0.745463i
\(589\) 3434.97 + 5949.53i 0.240298 + 0.416208i
\(590\) −30505.4 + 17612.3i −2.12862 + 1.22896i
\(591\) −744.518 2473.21i −0.0518196 0.172139i
\(592\) 13200.9 22864.6i 0.916474 1.58738i
\(593\) −14044.3 −0.972567 −0.486284 0.873801i \(-0.661648\pi\)
−0.486284 + 0.873801i \(0.661648\pi\)
\(594\) 18874.9 + 3239.71i 1.30378 + 0.223783i
\(595\) −7584.31 + 2333.46i −0.522565 + 0.160777i
\(596\) −2316.17 1337.24i −0.159185 0.0919053i
\(597\) −6743.98 22402.8i −0.462333 1.53582i
\(598\) 1031.80 595.713i 0.0705579 0.0407366i
\(599\) −10357.8 + 5980.08i −0.706524 + 0.407912i −0.809773 0.586744i \(-0.800410\pi\)
0.103248 + 0.994656i \(0.467076\pi\)
\(600\) 8454.56 + 1990.24i 0.575260 + 0.135418i
\(601\) −21071.9 12165.9i −1.43019 0.825718i −0.433051 0.901369i \(-0.642563\pi\)
−0.997134 + 0.0756510i \(0.975897\pi\)
\(602\) 2018.48 + 6560.56i 0.136656 + 0.444167i
\(603\) −12678.1 6319.13i −0.856207 0.426757i
\(604\) 6073.80 0.409171
\(605\) −356.915 + 618.196i −0.0239846 + 0.0415425i
\(606\) 5742.68 6105.40i 0.384951 0.409266i
\(607\) −8989.19 + 5189.91i −0.601087 + 0.347038i −0.769469 0.638684i \(-0.779479\pi\)
0.168382 + 0.985722i \(0.446146\pi\)
\(608\) −11329.2 19622.8i −0.755693 1.30890i
\(609\) −2539.39 + 5173.25i −0.168967 + 0.344221i
\(610\) −23705.0 + 41058.2i −1.57342 + 2.72524i
\(611\) 3580.20i 0.237053i
\(612\) −3313.95 1651.77i −0.218886 0.109099i
\(613\) −7728.54 −0.509222 −0.254611 0.967044i \(-0.581947\pi\)
−0.254611 + 0.967044i \(0.581947\pi\)
\(614\) −11745.1 + 20343.2i −0.771979 + 1.33711i
\(615\) −347.209 + 1474.95i −0.0227655 + 0.0967085i
\(616\) −2988.84 2777.25i −0.195493 0.181654i
\(617\) 6665.11 3848.10i 0.434890 0.251084i −0.266538 0.963825i \(-0.585880\pi\)
0.701428 + 0.712741i \(0.252546\pi\)
\(618\) −14320.5 + 4310.94i −0.932127 + 0.280601i
\(619\) −25350.2 14635.9i −1.64606 0.950352i −0.978617 0.205689i \(-0.934056\pi\)
−0.667441 0.744663i \(-0.732610\pi\)
\(620\) 8996.01i 0.582723i
\(621\) 978.266 5699.48i 0.0632149 0.368297i
\(622\) 17714.8i 1.14196i
\(623\) 4042.54 17652.8i 0.259969 1.13522i
\(624\) 848.175 + 2817.55i 0.0544138 + 0.180757i
\(625\) −12405.2 21486.4i −0.793931 1.37513i
\(626\) 4858.46 + 8415.10i 0.310197 + 0.537276i
\(627\) 4169.45 17711.9i 0.265569 1.12814i
\(628\) 12039.5 + 6951.01i 0.765014 + 0.441681i
\(629\) −7630.15 −0.483679
\(630\) −35419.6 + 13319.4i −2.23992 + 0.842314i
\(631\) −16177.9 −1.02065 −0.510326 0.859981i \(-0.670475\pi\)
−0.510326 + 0.859981i \(0.670475\pi\)
\(632\) 1365.02 + 788.094i 0.0859138 + 0.0496024i
\(633\) −12981.0 12209.8i −0.815087 0.766663i
\(634\) −5149.09 8918.49i −0.322550 0.558673i
\(635\) 2799.24 + 4848.42i 0.174936 + 0.302998i
\(636\) 16154.0 17174.4i 1.00715 1.07077i
\(637\) −2606.90 + 191.577i −0.162150 + 0.0119161i
\(638\) 8174.41i 0.507254i
\(639\) −1724.94 2605.41i −0.106788 0.161296i
\(640\) 15314.5i 0.945875i
\(641\) −23508.3 13572.5i −1.44855 0.836321i −0.450155 0.892951i \(-0.648631\pi\)
−0.998395 + 0.0566298i \(0.981965\pi\)
\(642\) 3912.93 16622.2i 0.240547 1.02185i
\(643\) 18843.1 10879.1i 1.15567 0.667229i 0.205411 0.978676i \(-0.434147\pi\)
0.950263 + 0.311447i \(0.100814\pi\)
\(644\) 3318.46 3571.27i 0.203052 0.218522i
\(645\) −9700.38 + 2920.13i −0.592174 + 0.178264i
\(646\) −3962.70 + 6863.60i −0.241347 + 0.418026i
\(647\) 24932.0 1.51496 0.757478 0.652860i \(-0.226431\pi\)
0.757478 + 0.652860i \(0.226431\pi\)
\(648\) 4108.08 + 1742.58i 0.249044 + 0.105641i
\(649\) 16751.9i 1.01320i
\(650\) 3946.60 6835.72i 0.238152 0.412491i
\(651\) −3785.18 5642.50i −0.227885 0.339704i
\(652\) −1220.80 2114.50i −0.0733288 0.127009i
\(653\) 838.558 484.142i 0.0502531 0.0290137i −0.474663 0.880168i \(-0.657430\pi\)
0.524916 + 0.851154i \(0.324097\pi\)
\(654\) −1820.97 428.663i −0.108877 0.0256300i
\(655\) 21860.4 37863.3i 1.30406 2.25869i
\(656\) 1086.05 0.0646391
\(657\) 10555.5 + 15943.3i 0.626801 + 0.946739i
\(658\) 9704.44 + 31541.8i 0.574952 + 1.86874i
\(659\) −3413.73 1970.92i −0.201791 0.116504i 0.395700 0.918380i \(-0.370502\pi\)
−0.597491 + 0.801876i \(0.703835\pi\)
\(660\) −16325.0 + 17356.1i −0.962801 + 1.02361i
\(661\) 2506.55 1447.16i 0.147494 0.0851555i −0.424437 0.905457i \(-0.639528\pi\)
0.571931 + 0.820302i \(0.306195\pi\)
\(662\) 14932.3 8621.15i 0.876675 0.506149i
\(663\) 582.622 619.422i 0.0341284 0.0362841i
\(664\) 2126.64 + 1227.82i 0.124292 + 0.0717598i
\(665\) 10572.9 + 34364.7i 0.616543 + 2.00392i
\(666\) −36318.5 + 2225.83i −2.11308 + 0.129503i
\(667\) 2468.35 0.143291
\(668\) 786.084 1361.54i 0.0455307 0.0788615i
\(669\) 12530.3 + 2949.67i 0.724137 + 0.170465i
\(670\) 34384.1 19851.7i 1.98265 1.14468i
\(671\) 11273.5 + 19526.2i 0.648595 + 1.12340i
\(672\) 12484.3 + 18610.2i 0.716657 + 1.06831i
\(673\) −6948.10 + 12034.5i −0.397964 + 0.689293i −0.993475 0.114054i \(-0.963616\pi\)
0.595511 + 0.803347i \(0.296950\pi\)
\(674\) 27516.5i 1.57255i
\(675\) −13266.8 35940.9i −0.756504 2.04943i
\(676\) −13659.4 −0.777165
\(677\) 4561.28 7900.37i 0.258943 0.448502i −0.707016 0.707197i \(-0.749959\pi\)
0.965959 + 0.258695i \(0.0832926\pi\)
\(678\) −31219.8 + 9398.19i −1.76842 + 0.532353i
\(679\) 7587.03 8165.05i 0.428812 0.461481i
\(680\) −2271.32 + 1311.35i −0.128090 + 0.0739529i
\(681\) −200.089 + 849.982i −0.0112591 + 0.0478288i
\(682\) −8346.50 4818.85i −0.468628 0.270562i
\(683\) 5500.02i 0.308129i −0.988061 0.154065i \(-0.950764\pi\)
0.988061 0.154065i \(-0.0492364\pi\)
\(684\) −7484.19 + 15015.6i −0.418370 + 0.839379i
\(685\) 22700.0i 1.26617i
\(686\) −22447.7 + 8754.04i −1.24935 + 0.487217i
\(687\) 4067.48 4324.39i 0.225886 0.240154i
\(688\) 3630.43 + 6288.08i 0.201175 + 0.348446i
\(689\) 2707.41 + 4689.36i 0.149701 + 0.259290i
\(690\) 11806.1 + 11104.7i 0.651380 + 0.612682i
\(691\) 9079.68 + 5242.16i 0.499866 + 0.288598i 0.728658 0.684877i \(-0.240144\pi\)
−0.228792 + 0.973475i \(0.573478\pi\)
\(692\) 25401.8 1.39542
\(693\) −2936.61 + 17755.1i −0.160970 + 0.973246i
\(694\) 33334.8 1.82330
\(695\) 36756.9 + 21221.6i 2.00614 + 1.15825i
\(696\) −436.451 + 1854.05i −0.0237696 + 0.100974i
\(697\) −156.935 271.820i −0.00852849 0.0147718i
\(698\) −13827.5 23949.9i −0.749825 1.29874i
\(699\) 3267.50 + 10854.3i 0.176807 + 0.587334i
\(700\) 7209.54 31482.3i 0.389279 1.69989i
\(701\) 15162.7i 0.816955i 0.912768 + 0.408477i \(0.133940\pi\)
−0.912768 + 0.408477i \(0.866060\pi\)
\(702\) 2592.51 3118.33i 0.139385 0.167655i
\(703\) 34572.4i 1.85480i
\(704\) 9000.94 + 5196.69i 0.481869 + 0.278207i
\(705\) −46637.4 + 14039.4i −2.49144 + 0.750006i
\(706\) −32928.2 + 19011.1i −1.75534 + 1.01345i
\(707\) 5769.97 + 5361.50i 0.306934 + 0.285205i
\(708\) 3539.27 15034.9i 0.187873 0.798087i
\(709\) 1871.41 3241.38i 0.0991289 0.171696i −0.812195 0.583385i \(-0.801728\pi\)
0.911324 + 0.411689i \(0.135061\pi\)
\(710\) 8757.80 0.462922
\(711\) −425.286 6939.34i −0.0224324 0.366027i
\(712\) 5985.56i 0.315054i
\(713\) −1455.10 + 2520.31i −0.0764293 + 0.132379i
\(714\) 3453.94 7036.39i 0.181037 0.368810i
\(715\) −2736.05 4738.98i −0.143109 0.247871i
\(716\) −8046.24 + 4645.50i −0.419975 + 0.242473i
\(717\) 6799.90 7229.40i 0.354180 0.376551i
\(718\) −21250.1 + 36806.3i −1.10452 + 1.91309i
\(719\) 24366.5 1.26386 0.631931 0.775024i \(-0.282262\pi\)
0.631931 + 0.775024i \(0.282262\pi\)
\(720\) −33376.7 + 22097.5i −1.72760 + 1.14378i
\(721\) −4132.68 13432.2i −0.213466 0.693818i
\(722\) 8569.01 + 4947.32i 0.441697 + 0.255014i
\(723\) 11464.0 + 2698.67i 0.589696 + 0.138817i
\(724\) −4069.91 + 2349.77i −0.208919 + 0.120619i
\(725\) 14162.0 8176.42i 0.725466 0.418848i
\(726\) −203.256 675.197i −0.0103906 0.0345164i
\(727\) 20385.8 + 11769.7i 1.03998 + 0.600433i 0.919828 0.392322i \(-0.128328\pi\)
0.120153 + 0.992755i \(0.461661\pi\)
\(728\) −825.748 + 254.057i −0.0420388 + 0.0129340i
\(729\) −3594.09 19352.1i −0.182599 0.983188i
\(730\) −53591.7 −2.71715
\(731\) 1049.20 1817.27i 0.0530862 0.0919481i
\(732\) −5992.56 19906.7i −0.302584 1.00515i
\(733\) 11851.1 6842.23i 0.597176 0.344780i −0.170754 0.985314i \(-0.554620\pi\)
0.767930 + 0.640534i \(0.221287\pi\)
\(734\) −5688.16 9852.18i −0.286040 0.495437i
\(735\) −12718.3 33207.5i −0.638259 1.66650i
\(736\) 4799.24 8312.53i 0.240356 0.416310i
\(737\) 18881.9i 0.943722i
\(738\) −826.287 1248.05i −0.0412141 0.0622511i
\(739\) 12978.1 0.646017 0.323009 0.946396i \(-0.395306\pi\)
0.323009 + 0.946396i \(0.395306\pi\)
\(740\) 22635.8 39206.4i 1.12447 1.94764i
\(741\) −2806.62 2639.87i −0.139141 0.130875i
\(742\) 36563.3 + 33974.9i 1.80900 + 1.68094i
\(743\) −24571.4 + 14186.3i −1.21324 + 0.700464i −0.963463 0.267840i \(-0.913690\pi\)
−0.249775 + 0.968304i \(0.580357\pi\)
\(744\) −1635.80 1538.61i −0.0806064 0.0758176i
\(745\) 7236.27 + 4177.86i 0.355861 + 0.205456i
\(746\) 15570.2i 0.764163i
\(747\) −662.577 10811.2i −0.0324530 0.529532i
\(748\) 4935.56i 0.241259i
\(749\) 15642.1 + 3582.08i 0.763082 + 0.174748i
\(750\) 56676.7 + 13341.9i 2.75939 + 0.649570i
\(751\) 13262.7 + 22971.6i 0.644423 + 1.11617i 0.984434 + 0.175752i \(0.0562358\pi\)
−0.340011 + 0.940421i \(0.610431\pi\)
\(752\) 17454.3 + 30231.8i 0.846402 + 1.46601i
\(753\) 1571.01 472.925i 0.0760302 0.0228876i
\(754\) 1499.05 + 865.475i 0.0724033 + 0.0418021i
\(755\) −18976.0 −0.914711
\(756\) 6386.83 15314.8i 0.307258 0.736765i
\(757\) 15064.7 0.723296 0.361648 0.932315i \(-0.382214\pi\)
0.361648 + 0.932315i \(0.382214\pi\)
\(758\) 6737.68 + 3890.00i 0.322854 + 0.186400i
\(759\) 7380.94 2221.91i 0.352979 0.106258i
\(760\) 5941.75 + 10291.4i 0.283592 + 0.491196i
\(761\) −2369.82 4104.66i −0.112886 0.195524i 0.804047 0.594566i \(-0.202676\pi\)
−0.916933 + 0.399042i \(0.869343\pi\)
\(762\) −5383.07 1267.19i −0.255916 0.0602436i
\(763\) 392.418 1713.59i 0.0186192 0.0813057i
\(764\) 17626.0i 0.834667i
\(765\) 10353.6 + 5160.51i 0.489326 + 0.243894i
\(766\) 21135.0i 0.996917i
\(767\) 3072.01 + 1773.63i 0.144621 + 0.0834967i
\(768\) 19763.8 + 18589.6i 0.928599 + 0.873431i
\(769\) −17949.9 + 10363.4i −0.841730 + 0.485973i −0.857852 0.513897i \(-0.828201\pi\)
0.0161222 + 0.999870i \(0.494868\pi\)
\(770\) −36950.2 34334.5i −1.72934 1.60692i
\(771\) −15502.2 14581.2i −0.724123 0.681103i
\(772\) 3936.68 6818.53i 0.183529 0.317881i
\(773\) −10493.9 −0.488279 −0.244139 0.969740i \(-0.578505\pi\)
−0.244139 +